there have been a couple of Snapshots run with carriers. Torpedo 8 was a lot of fun. Allieds had TBMs and F6Fs and the Axis just launched Zekes. Torps were supposed to hit the japanese fleet, zekes were supposed to patrol and find them.
Right now, we don't have much of a planeset for CV ops.
US - 4 Corsair variants (I assume all are carrier operational), the TBM and the Hellcat.
Brits - Seafire MkII
Japanese - A6M5b
Hopefully, we'll see some Kates and Vals, along with a SBD Dauntless (or Devastator) in the next version or so. Couldn't really do a good early Pac scenario with that as we'd have to sub the later Zeke and Hellcat for the early Zeke and Wildcat.
The Japanese forces look like they're getting the Peggy in 1.09, but she's a land based light bomber/heavy fighter if I'm not mistaken.