Our apartments don't allow pets, but they let us have our birds - I'm guessing they'd probably allow other small, caged pets, too - but we made sure they put the birds being allowed on our lease. So far, I haven't heard any complaints about them - the people in the building who have mentioned hearing them to me have mentioned that they enjoy hearing them. So, yay.
Macaws can be noisy, from what I understand, though I haven't ever had one, or anything. I want to see and/or meet a hyacinth macaw someday - they are so pretty! I've never met a lorikeet. I wish there were more parrot people around here - I don't really know any, except for my husband.