I pulled the new Falcon from the new Cap movie set, and I'd like to build a team of other winged characters around him. But I'm sure I don't know the whole list of qualifiers. Help me out.

So far I can see:
Falcon (CA:WS, CA, Sinister)
Dawnstar (SLoSH, and Crisis)
Zauriel
Batwing
KC Batman
Vampire Batman
Shining Knight
Moonstar (Fan Forces)
Valkyrie (HoT)
Harvest
Phoenix (GSX, WatX)
Dark Phoenix
P5 Magik
Angel (DR, GSX)
Archangel (CM, GSX, M&M, WatX)
Angelus
Beetle
Mach 1,3,4
Vulture (IC, FF, ASM)

Who else could I pick from?

The big ones I don't see on your list:

Hawkman
Hawkgirl
Blue Beetle
KC Wonder Woman