Bird rescue is the same as it is for dogs and cats, same for reptiles too, but that requires even more room.
Most people are unaware that many thousands of birds are dumped in shelters as well.
Mostly I think it's because some people do not understand what they are getting into with birds, they are a ton more work than people think, especially parrots, and they get overwhelmed.
Most of my rescue birds were finches, canaries, pigeons and doves, quite a few were parakeets and cockatiels, 4 were lovebirds and 6 were parrots.
I also had button quail rescues.
Most shelters are not equipped to deal with birds, so I stepped up
I was able to place all the doves, the quail and pigeons with two people with large outdoor aviaries.
All of the parakeets and cockatiels went to a lady in Bremerton Washington with a large bird barn and several segregated indoor/outdoor aviaries.
The finches and canaries went to 4 different people, though most went to one guy with a huge indoor aviary.
3 parrots and 4 lovebirds were transported via transport teams to an exotic bird sanctuary in Eugene Oregon, 2 parrots were so neglected they didn't live long and the last parrot I kept until she passed away 2 years ago.
I briefly also worked with a bird rehab lady and raised an orphaned crow and was able to return him to his murder several months later.
That was really hard, baby birds of any species are just so endearing, but the last thing you want is to become attached to them, or them to you.