There are lots and lots of birds on kijiji and craigslist. I just got my little sun conure from kijiji.
Some conures are quieter (quieter being relative here), but do not get a sun conure if you are in an apartment. They are LOUD. We can here her out at the barn when all windows are closed.
Have you looked at parrotlets? They are mini-parrots that are fairly quiet and if you work with them young, some can learn to talk - especially the boys. They are related to Amazon
parrots, but are smaller than budgies.
Love birds could be an option - but they are only happy when there are 2 of them. Pionus are a little bigger parrot but are considered one of the quietest of the medium parrots.
Almost any thing else other than a cockatiel or budgie are going to be too loud for an apartment, unless you want to dish out a lot of cash for a toucanet.