I just got the animat pet and it can raise my accuracy indefinitely. I reloaded and tried several things and it actually worked differently different times. One thing that always seems to work is equip animat, exit inventory, enter inventory, unequip animat (notice that accuracy doesnt drop), repeat.
Not a huge bug, and one that people probably wont find, I am not sure why I found it. I was just so surprised that the animat influenced a stat that I started equipping and unequipping it and saw that my accuracy never stopped going up.
Cheers!
Proof:
http://imgur.com/SkYmPgM