Firstly It's The Bee. The Legendary amp damage shield with the zero drain.
While wearing this and it is fully charged, my weapons gain an additional 35000 damage, which, to be honest would make even a pointed stick lethal. The stats you are looking at here are post nerf. For those of you who don't know the history. Gearbox decided the the Bee was too powerful so they nerfed the levels by quite a lot.
I got my Bee from killing Hunter Hellquist in the Arid Nexus Boneyard. An easy mission with a great reward.
They next big player is this fantastic class mod.
This Wild Cat mod adds +95% SMG damage the cost of a slightly lowered accuracy. I found this in a red chest and did a double take at the massive levels. I have seen a few more since but none higher than +45%.
Let me know what you meat puppets have hidden behind your guns.
Murph Out!