Here are the current skills available during the Beta and their associated weapons.

About modifiers:
Modifiers 1-2: Level 5
Modifiers 3-4: Level 10
Modifiers 5-6: Level 15
Modifiers 7-8+: Level 20

(+)Minor Modifier: 4 ASM points
(++)Major Modifier: 8 ASM points

Total ASM points at level 20: 20 points

Staff & Catalyst Skills

Aether Jump

Jump through the aether to teleport to another position.
(+)Modifier 1: Increased teleport range.
(+)Modifier 2: Enemies near the beginning and end of the teleport are afflicted with Stasis.
(+)Modifier 3: Gain Willpower for each enemy passed through with Aether Jump.
(++)Modifier 4: Swap position with foes around the target location.
(++)Modifier 5: Leaves a decoy behind when teleporting.
(+)Modifier 6: Deals Aether Damage to enemies between the beginning and end of the teleport. Increased chance of applying Stasis.
(+)Modifier 7: Casting this ability removes all crowd control effects.
(++)Modifier 8: Can be cast multiple times at an increased cost.

Annihilation

Channel a beam of Aether in front of you, damaging your foes. Turn speed while casting is increased proportionally to cast speed.
(+)Modifier 1: Costs less Willpower per second.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Increased beam radius.
(++)Modifier 4: Pierces enemies.
(++)Modifier 5: Converts base Aether Damage to Toxic Damage. Applies an additional stack when applying Poison.
(+)Modifier 6: Turn speed while casting is increased.
(+)Modifier 7: Gradually increased damage over time while channeling.
(++)Modifier 8: Grants a second beam.

Arctic Spear

After a delay, hurl an ice shard in a line.
(+)Modifier 1: Increased damage.
(+)Modifier 2: Reduced Willpower cost.
(+)Modifier 3: Longer creation delay but increased damage.
(++)Modifier 4: Frozen foes killed by Arctic Spear shatter in shards, damaging nearby enemies.
(++)Modifier 5: Converts base Frost Damage to Sacred Damage. Increased chance of applying Weakness.
(+)Modifier 6: More likely to apply ailments.
Modifier 7: More likely to deal critical hits.
(++)Modifier 8: Every Arctic Spear that hits an enemy increases the damage of the next Arctic Spear incrementally. This buff is reset when an Arctic Spear misses.

Bulwark of Dawn

Bless an area around you with the light of dawn. It heals those who stand in it over time.
(+)Modifier 1: Increased duration.
(+)Modifier 2: Grants bonus to All Resistances while inside the area.
(+)Modifier 3: Grants Sacred Damage to Attacks while standing in the area.
(++)Modifier 4: Healing area is now centered at cursor location.
(++)Modifier 5: The healing area can be moved by recasting the ability.
(+)Modifier 6: Increased healing rate.
(+)Modifier 7: Standing in the healing area increases Stamina Regeneration.
(++)Modifier 8: The healing area follows the player that it was cast on.

Consuming Embers

Summon a fireball and launch it in a straight line in front of you.
(+)Modifier 1: Increased area of effect.
(+)Modifier 2: Increased damage.
(++)Modifier 3: The projectiles no longer collide or explode. Instead, they gain an increased area of effect and pierce the targets burning them on the way.
(++)Modifier 4: Adds one projectile at an increased cost.
(++)Modifier 5: Converts base Fire Damage to Lightning Damage. Increased damage.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: Gives a buff that allows you to deal additional damage based on the base element of this skill. This buff is also given to allies touched by this skill.

Tear of Etheliel

A mass of ice forms above your enemies. After a short delay, it falls from the sky for huge damage.
(+)Modifier 1: Increased area of effect.
(+)Modifier 2: Reduced Willpower cost.
(+)Modifier 3: Reduced creation delay.
(+)Modifier 4: Increased damage.
(++)Modifier 5: Converts base Frost Damage to Fire Damage. Increased damage.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: Longer creation delay but increased damage.

Thunderstrike

Electrocute your foes with bouncing lightning. Each bounce is weaker than the last.
(+)Modifier 1: Reduced Willpower cost.
(+)Modifier 2: Reduced damage loss on each bounce.
(+)Modifier 3: Increased damage.
(++)Modifier 4: Adds another bounce.
(++)Modifier 5: Converts base Lightning Damage to Shadow Damage. Increased chance of applying Cursed.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: Gives a buff that allows you to deal additional damage based on the base element of this skill. This buff is also given to allies touched by this skill. This ability can target allies.

Winter's Grasp

An ice nova emanates around you and freezes your enemies.
(+)Modifier 1: Increased area of effect.
(+)Modifier 2: Reduced cooldown.
(+)Modifier 3: Increased freeze duration.
(++)Modifier 4: Winter's Grasp is cast in a circle around the cursor.
(++)Modifier 5: Converts base Frost Damage to Shadow Damage.
(+)Modifier 6: Increased damage.
(+)Modifier 7: Leaves a damaging area on the ground for a few seconds.
(++)Modifier 8: Gives a buff that allows you to deal additional damage based on the base element of this skill. This buff is also given to allies touched by this skill.

Melee Skills

Anvil's Woe

Summon a colossal hammer and bring it down on your foes, dealing area damage.
(+)Modifier 1: Increased damage.
(+)Modifier 2: Reduced rage cost.
(+)Modifier 3: Increased area of effect.
(+)Modifier 4: Higher critical chance on stunned enemies.
(++)Modifier 5: Converts base Physical Damage to Lightning Damage. Increased damage.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: Able to charge up the ability to deal more damage.

Bladestorm

Summon an enormous greatsword and cut a path through hordes of enemies, spinning to maintain momentum.
(+)Modifier 1: Reduced Rage cost.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Damage ticks are applied more often. Reduced damage.
(++)Modifier 4: Can be held to prolong the skill.
(++)Modifier 5: Converts base Physical Damage to Frost Damage. Increased damage.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: Increased area of effect. Damage ticks are applied less often.

Bleeding Edge

Throw a spinning axe in a circle around you, damaging and making those affected bleed.
(+)Modifier 1: Increased rotation speed.
(+)Modifier 2: Increased area of effect.
(+)Modifier 3: Increased bleed chance.
(++)Modifier 4: The axe keeps spinning for a short duration after being thrown at an increased cost and reduced damage.
(++)Modifier 5: Converts base Physical Damage to Fire damage. Increased damage.
(+)Modifier 6: Damage dealt by this ability now gives Life Leech.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: The axe now follows you as you move.

Sovereign Shout

Unleash a powerful warcry which buffs attack speed and cast speed by 25% for yourself and nearby allies.
(+)Modifier 1: Grants rage per enemy hit by the shout and improved rage per hit for the duration of the skill.
(+)Modifier 2: Increases the likelihood of Health Globes spawning while this ability is active.
(+)Modifier 3: Grants bonus to All Resistances per enemy hit by the shout.
(++)Modifier 4: Stun foes in a small radius.
(++)Modifier 5: Enemies hit by the shout gain stacks of Weakness.
(+)Modifier 6: Increases the duration of the buffs granted by this skill.
(+)Modifier 7: Increases the effectiveness of all buffs granted by this skill and other skills.
(++)Modifier 8: You and your allies are cleansed of crowd control effects.

Tracker's Reach

Throw a chained hook forward and pull back all the foes it went through.
(+)Modifier 1: Increased range.
(+)Modifier 2: Foes affected by the hook are stunned.
(+)Modifier 3: Gain Rage for each enemy hit by this ability.
(++)Modifier 4: Pulls you toward the final target of the hook.
(++)Modifier 5: Deals Rend Damage. Applies an additional stack when applying Bleed.
(+)Modifier 6: Reduced cooldown.
(+)Modifier 7: Foes hit by the hook are more likely to drop Health Globes.
(++)Modifier 8: Pulls enemies from all directions.

Warpath

Summon a mighty shield and run through your enemies, breaking their ranks.
(+)Modifier 1: Increased movement speed.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Stuns enemies at the end of the charge.
(++)Modifier 4: Can be held to prolong the skill.
(++)Modifier 5: Converts base Physical Damage to Fire Damage. Increased damage.
(+)Modifier 6: Charge cannot be interrupted by crowd control effects. Take reduced damage from projectiles while charging.
(+)Modifier 7: Creates a damage-dealing shockwave at the end of the charge.
(++)Modifier 8: Leaves a damaging area on the ground for a few seconds.

Wings of Ishmir

Summon a giant spear and leap onto your enemies, damaging them.
(+)Modifier 1: Greater rage generation.
(+)Modifier 2: Increased flight speed.
(+)Modifier 3: Stuns on impact.
(++)Modifier 4: Creates a damage-dealing shockwave.
(++)Modifier 5: Converts base Physical Damage to Sacred Damage. Increased chance of applying Weakness.
(+)Modifier 6: Increased damage.
(+)Modifier 7: Knockback enemies on landing.
(++)Modifier 8: No longer has a cooldown. Costs one Stamina Point to use.

Wrath of Baäpheth

Summon a pair of unbreakable chains and unleash a flurry of reckless lashes.
(+)Modifier 1: Reduced Rage cost.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Increased area of effect.
(++)Modifier 4: Gain Life Leech on the damage dealt by this ability. The lower your health, the more Life Leech you gain.
(++)Modifier 5: Converts base Physical Damage to Sacred Damage. Increased chance of applying Weakness.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: Add an additional attack to the combo.

Bow & Pistol skills

Arrows Wail

Let loose a volley of arrows in a circular area that damages enemies over time.
(+)Modifier 1: Reduced cooldown.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Adds a slowing effect in the area.
(++)Modifier 4: All damage is now dealt directly, but is reduced overall.
(++)Modifier 5: Converts base Physical Damage to Fire Damage. Increased damage.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: Arrows become a vertical barrage that creeps forward slowly.

Gunslinger’s Brand

Line up a series of shots then fire at multiple enemies with unerring accuracy.
(+)Modifier 1: Reduced Rage cost.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Increased number of targets.
(++)Modifier 4: Each shot of Gunslinger's Brand that hits an enemy deals AOE damage.
(++)Modifier 5: Converts base Physical Damage to Aether Damage. Increased chance of applying Stasis.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: Every shot of Gunslinger's Brand that hits an enemy increases the damage of the next shot incrementally. This buff is reset when a shot misses.
(+)Modifier 9: Can target enemies with just the cursor.

Stings of Krearion

Summon an imposing bow and launch several piercing arrows at once.
(+)Modifier 1: Increased damage.
(+)Modifier 2: Reduced rage cost.
(+)Modifier 3: Reduced number of projectiles but increased damage.
(++)Modifier 4: Arrows explode on enemy contact. Cannot pierce enemies.
(++)Modifier 5: Converts base Physical Damage to Toxic Damage. Applies an additional stack when applying Poison.
(+)Modifier 6: More likely to apply ailments.
(+)Modifier 7: Increased number of projectiles.
(++)Modifier 8: Summon ghosts to shoot arrows alongside you.

Bow, Pistol & Dagger Skills

‘Avenger’ Autoturret

Summon a mechanical turret to provide covering fire. Can be detached and wielded by holding the skill.
(+)Modifier 1: Turret stays active for a longer duration.
(+)Modifier 2: Increased damage.
(+)Modifier 3: Turret gains an additional cannon, increasing its damage output.
(++)Modifier 4: Turret shots now deal AOE damage.
(++)Modifier 5: Converts base Physical Damage to Lightning Damage. Increased damage.
(+)Modifier 6: Turret explodes when destroyed, dealing AOE Physical Damage.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: Turret can now turn and auto-target enemies.
(+)Modifier 9: Allows you to summon a second turret.

Phantom Blades

Throw a spinning dualblade in a front line, damaging those caught in its path.
(+)Modifier 1: Increased damage.
(+)Modifier 2: Reduced reload time for charges.
(+)Modifier 3: Increased area of effect.
(++)Modifier 4: The projectile circles around the cursor's location.
(++)Modifier 5: Converts base Physical damage to Toxic damage. Applies an additional stack when applying Poison.
(+)Modifier 6: Can hold 1 additional charge.
(++)Modifier 7: Projectile becomes a bola that roots enemies.
(++)Modifier 8: Teleport to the projectile's location on recast.

Mark of Impurity
(+)Modifier 1: Marked enemies are more vulnerable.
(+)Modifier 2: Marked enemies are slowed.
(+)Modifier 3: Marks last longer.
(++)Modifier 4: Enemies killed while under the effect of Mark of Impurity explode and deal damage based on the target's max Health in an area around them.
(+)Modifier 5: Marked enemies take increased critical damage.
(+)Modifier 6: Marked enemies are more likely to be afflicted with ailments.
(+)Modifier 7: Marked enemies take increased damage from ailments.
(++)Modifier 8: Mark of Impurity spreads to surrounding units on the death of the target.

Slayer's Flurry

Summon two blades and dash forward to the target, dealing single target damage. Does not dash if used in melee range.
(+)Modifier 1: Faster dash.
(+)Modifier 2: Part of the overall damage dealt to the target is dealt in an area around it.
(+)Modifier 3: Increased damage.
(++)Modifier 4: Teleport behind the target.
(++)Modifier 5: Converts base Physical Damage to Shadow Damage. Increased chance of applying Cursed.
(+)Modifier 6: Every time the skill is recast within a short period of time, its damage is increased.
(+)Modifier 7: More likely to deal critical hits.
(++)Modifier 8: On kill, spreads the status ailment stacks to foes around the dead target.

Havoc Orb

Target an area and launch an exploding device, dealing fire damage in an area of effect.
(+)Modifier 1: Increased area of effect.
(+)Modifier 2: Reduced minimum range.
(+)Modifier 3: Adds a slow effect to the target area.
(++)Modifier 4: Adds two projectiles but each one deals reduced damage.
(+)Modifier 5: Converts Physical Damage to Rend Damage. Applies an additional stack when applying Bleed.
(+)Modifier 6: Increased damage.
(+)Modifier 7: Critical hits deal more damage.
(++)Modifier 8: The projectile stays where it lands for a while and detonates if there's an enemy nearby.