I might stop for a bit responding to answers that are just asking for birdplay for a specific species. The problem being that we've kinda gone over a bunch of all raptors, and then I just honestly do not have a new idea for all species. I encourage y'all to actually try to make up your own !
But like i'm just one guy, who happens to be one species, and I tend to make stuff that are suited to my tastes and my species. Plus, a lot of birdplay relies kinda also on what your actual kinks are. The same bird could want to feel wildly different, and a big raptor can be submissive and manhandled as much as a small songbird can want to be a pushy dominant.
My real advice species wise is to, well, either look at what you like about the species (if you are not a therianthrope) and if you are a therianthrope, to rely on your instincts. And then, to talk and mingle with other kinkster, to see how you can mix things up.
There's a bunch of things I've never explored ! A lot of birds a serial cheaters, and you could totally be a prettybird swaying someone else's mate for your own gain and so she raises your eggs, or on the other side, a hen who has scored a great male to help raise her eggs, but wants the one juuuust a bit prettier to actually father them.
You could do a bunch of things with game fowls or rare birds for a collector, have dom hunt you down during a paintball game where you have gear signalling you as the prey, or write up cuts of meat on you when you're caught or pretend stuffing you as taxidermy, if you're into that (and god knows i could see why, ahah).
For all the water birds, you could get taught tricks where you grab things underwater, or a gull can incarnate the mischief maker they are and be a huge brat that relies on bullying people into giving into them, maybe by throwing them in the pool, your territory, if must be.
You can tie up a bird to band them, or put a tracker on them. You can plant a "wildlife camera" into a bird sub's nest so you know every single behavior you could want (and when their breeding season starts to take their toll on them).
A bird can bully a human about how much of a pervert they are for wanting to fuck all year instead of during a breeding season. A human can bully a bird when suddenly the scales tip and its the bird who's needy and desperate when the human isn't that much more horny than usual.
Like ! I can't actually just always make things up with a species. A species while a good starting ground, is a starting ground. The main course of the kink is always, well, what gets you hot under the hood.