Probably every animal species you can think of is playable or can be found in some form in video games, but today we decided to find those games where you can play as a cat. Any cat. Domestic cats or any one of the wild cats: tigers, lions, cheetahs, all included.
Cait Sith, a remote-controlled cat riding a robot moogle (that's still a cat right?) from Final Fantasy VII is the first one that comes to mind.
source: FF Wiki
source: frokenok3's LP
source: Cyberman65's LP
source: SSP's LP
Felicia, the catgirl from Darkstalkers is an obvious choice as she's a signature character of the Capcom fighting games.
source: KaboXx on Deviantart
I still have nightmares from the 1983 Atari game Alley Cat because of that (clearly overpowered) dog.
source: Subypowa's LP
source: FFL2and3rocks' LP
There are quite a few Tom & Jerry games; this image is from the PS2 fighting game War Of The Whiskers.
source: PandaCrate's LP
You can control (with caution—the game has, well, issues) Hercules, Aries and Apollo in The Cheetahmen—part of Action 52—on the NES.
source: SwordlessLnk's LP
Of course, there are other games with cat characters. Make sure to submit your picks with images in the comments below.