First of all, I prefer square logos because I think they look better in-game.
Most of the logos I have from TxRanger and low, so I suggest you check these threads, too:
Retro Style Logos and Uniforms
My Fictional Teams for OOTP23 and Beyond
Also, since this is a very large request, you should consider using justafan's great software
Pickoff - Logo Creator and Color Code Filename Builder
It takes a little effort, but very soon you'll be able to create very good logos yourself
Okay, the logos that might fit:
Condors, Flamingos, Sydney Kangaroos, Moose and Honolulu Palms