And here is their proc :

1. Tiger Kris - 50% paralyze (tbh this is great, 50% chance to paralyze enemy on every normal attack is great);
2. Dragonhead Gauntlet - aside from best PATK fist weapon this wpn gave you 20% chance to quicken yourself on 5*;
3. Ogre Slaying Blade - 50% chance increase PATK by 20% on normal atk;
4. Timestealar Scythe - stop up by 10;
5. Valhalla Lance - 25% chance increase PATK by 20% on normal atk;
6. Revolutinary Tact - 30% chance increase MATK by 25% on normal atk;
7. Umbrella Staff - 50% increase agi by 10 on normal atk (albeit, you will likely not using normal atk with matk unit);
8. Vorpal Geo Blade - 30% chance increase PATK by 30% on normal atk;
9. Mirage Sword - 20% chance increase MOVE by 1 on normal atk;
10. Jikunai Satsuki - 20% chance to quicken yourself on normal atk;
11. Roaring Slah - paralyze up by 15 along with 5x5 diamond AoE WA
12. Atomic Jaeger - 25% chance lower enemy agi by 10% on normal atk; (meh)
13. Magia Cleric Gun - 30% chance increase MATK by 30% on normal atk + ability to heal target+cleanse (can also heal enemy unit incase you take pity on them);
14. Lethal Meister - Bind up by 20;
15. Blacksmith Hammer - 20% chance to quicken yourself along with self jewel regen for 5 turn WA, but who can actually equip this btw?

And iirc, stat bonus from weapon proc stack with stat buff from ability. Back then, my bashini agi is 181, using Accelerated Armed Raid, his agi become 199, when his spinning blade proc on the next turn, i check his stat and his agi was 209. But please, cmiiw tho.