Every now and then I fall into the black hole that is the pets section of YouTube and end up watching strings of videos with strange pets. I am particularly fascinated with birds and it'd be absolutely awesome to have an http://www.youtube.com/watch?v=g8LBnZOjHqA. They're lovable, very affectionate animals, problem is that they're quite expensive and very needy so I'm probably not up to the task of caring properly for one. I did briefly look after a parrot for someone else once, and he would start screaming like a maniac as soon as he was left alone in a room. Apparently cockatoos are even noisier than parrots, so I'm not sure it's something neighbors would appreciate. My only real experience with pet ownership is dutch rabbits who aren't high maintenance at all (though I suspect mine was worse than most, he'd refuse to eat if left alone too long).
I've seen some other cool animals like fennec foxes (also very, very noisy) and pygmy jerboas. The Japanese in particular seem quite obssed with those weird, cute little critters. Are there any that you are head over heels for?