To my knowledge complete list of active abilities which dont use the units cast point:
-All item abilities
-Wind Walk
-Immolation
-Blink
-Fan of Knives
-Mana Shield
-Berserk
-Defend / Magic Defense
-Polymorph / Hex
-Bladestorm
-Avatar
-Corporeal Form / Ethereal Form / Burrow / Stone Form / Destroyer Form / Storm Crow Form / Bear Form / Metamorphosis / Submerge / Chemical Rage / Robo-Goblin
-Orb of Annihilation / Searing Arrows / Black Arrow / Cold Arrows / Frost Arrows / Incinerate (Arrow) / Poison Arrows (those do use the attack point)
-Eat Tree
-War Club
-Reveal
-Divine Shield
-Flare
-Shadow Meld
-Mount Hyppogyph / Pick up Archer
-Dismount
-Entangle Gold Mine
-Root / Uproot
-Essence of Blight / Replenish / Spirit Touch (do not use cast point but when going in cooldown the cooldown time is = cd of ability + cast point of unit which is very unique)
-Load / Load Wisp (takes cast point into account but can be canceled just like backswing after loading)
-Select Hero / Select Unit / Shop Sharing
-Harvest
-Gather
-Call to Arms
-Repair / Restore / Renew
-Rally
-Charge Gold and Lumber
-Stand Down / Drop Corpse/ Unload / Unload Instant (do not take cast point into account when clicking the loaded unit/corpse icon)
-some obvious ones like Move, Attack, Build, etc.