If insects aren't allowed (I have a phobia of wasps to the point where I'm a 17 year old girl but if I see one anywhere near me, I start crying hysterically), then I'd say badger (a bad experience with a stuffed one when I was little), pigeons and seagulls (any other birds I'm fine with, I've held tawny owls and fed a European Eagle Owl because my boyfriend and his family rescue birds of prey, but I'm scared of pigeons and seagulls) and jellyfish.