I haven't done wrapped pet gifts in ages -- but I do remember Snickers could certainly unwrap his own gift! But only to receive a scary new toy. Life.
Worst year ever I wrapped up container of catnip for the cats... um, long story short (and destroyed house later) the cats, um, sniffed it out early. But yannoe, the cats, not being sure exactly which gift actually held the tantalizing scent, messed up a LOT of other gifts and decor before they hit pay dirt. Cats, whatcha gonna do?