I have only inputted 3 to 4 star weapon attributes.
Arrest - Has a high chance of paralyzing an enemy. Success rate 80%
Berserk - Sacrifices HP for a more powerful attack
Chaos - Has a high chance of confusing an enemy. Success rate 76%
Charge - Uses meseta for a powerful strike.
Dark - Has a chance to kill an enemy in one hit. Success rate 78%
Devil - Reduces enemy HP to 1/2
Demon - Reduces enemy hp to 1/4
Gush - Absorbs HP 17%
Giest - Refills 6% of TP
Havoc - Has a chance of confusing an enemy. Success rate 60%
Hell - Has a high chance to kill an enemy in one hit. Success rate 93%
Jellen (S-Rank Lv.17) - Lowers enemy attack
King's - Acquires 12% of enemy exp
King's (S-Rank) - Acquires 16% of enemy exp
Seize - Has a chance of paralyzing an enemy. Success rate 64%
Shifta and Deband - This special is only availabe on the S-Red's Blade. It casts lv.3 shifta or deband
Soul - Refills 5% of TP
Spirit - Drains TP for a more powerful attack
Zalure (S-Rank Lv.21) - Lowers enemy defence. Two Kamui Lv.5
Unreduced Series: S-Ranks, Needles, Slicer Types via SNS, Singe Targeters that hit once.
Unique unreduced examples: Chain Sawd, Red weapon series apart from Red Saber, Rainbow baton, Guld Milla, Black King Bar, Iron Faust, Burning Visit
Reduced: Slicers not using SNS, Multiple Target Weapons, Multiple Hitting.
Weapons with unique specials: Frozen Shooter & Snow Queen, Dark Flow, Dark Meteor, Tsumiriki-J-Sword, Berdysh, Lavis series, Girasole, Heaven Punisher, Heaven Striker with Striker Unit, S-Red's Blade, Twin Blaze, Two Kamui
I Used Pso-World.com as a reference creating this guide and I don't take any credit for this. If you guys think there is something wrong please give feedback.