Moves: Acrobatics, Bestow, Covet, Embargo, Fling, Knock Off, Magic Room, Recycle, Switcheroo, Thief, Trick, Belch, Bug Bite, Incinerate, Natural Gift, Pluck.
Abilities: Frisk, Klutz, Magician, Pickpocket, Pickup, Sticky Hold, Symbiosis, Unburden, Cheek Pouch, Gluttony, Harvest, Unnerve.
I believe that's all of them. :v I got these by going through the Moves and Abilities list on the DB checking to see which ones affected Items and Berries. Hope I helped, fren.
EDIT: Also, the ones that I missed that The Noby listed. Don't forget those.
Moves | Abilities