Secretly, I have a thing for out-of-the-ordinary pets. Not TOO out of the ordinary -- I don't want a monkey or anything! -- but reptiles are pretty dang cool. Iguanas in particular look like you have a dinosaur as a pet.
Unfortunately, they're about as cuddly as dinosaurs, too. And unlike the dinos, they live for stinkin' EVER. So, I'll probably stick with my second choice:
Quiet, practical size for an apartment, cute, lives for a couple of years, and WAY more interesting than a fish. Sold.