Fish, spiders, etc.

MOST PEOPLE ARE ALLERGIC TO FUR OR FEATHERS THERE ARE HAIRLESS CATS DOGS AND GUINEPIGS
OR FISH

If you look for Rex or teddy bear varieties of hamsters and rabbits and guinea pigs and such, those may work for you.

No pet with hair is hypo-allergenic, but those with tight, curly hair (like the rex rabbits or teddy bear guinea pigs) tend to shed less hair and dander, and may not bother your allergies as much.

I hope this helps! If not, there are a lot of great lizards, snakes, fish, etc.