I think the CVs have great potential for some entertaining achievements.
Wrong Ship Dilbert! - Takeoff from a carrier and land at a different carrier.
Deck to Deck Service - Land an aircraft on the static CV at a port.
Don't be a Dilbert! - Land inverted on the carrier deck.
Bonzai! - Fly less than 25 feet from stern to bow above an enemy CV, and survive to land and tell.
Wrong Way Dilbert! - Land on a CV backwards.
Wait for the signal Dilbert! - Survive catastrophic collision damage with the CV and land successfuly.
Blinders for Pilots - Suffer catastrophic damage from friendly CV, HQ or strat auto-5" AAA.
Surprise Your Crewchief - After scoring one or more victories/kills, successfuly land/park your aircraft fully rearmed and refueld in its hangar (bomber/fighter) and without any damage (~98-99% original starting fuel loadout, for taxing).
Save Your Cans - Succesfuly land with empty drop tanks.
Te Dilbert series cartoons should provide good icon ideas/sources.

This poster gave me th idea for saving drop tanks.

Edits/Adds
Compact Parking - Land any allied heavy bomber (4-engine) on a carrier.
Are we heading to Maui? - Land a land-based fighter on a carrier.
W. E. Coyote - Collide with a heavy bomber (or something) while flying the Me163.
Who's your daddy? - Score the following kills in the following rides: All P40 varients while flying a P40C, all P47 varients while flying a P47D11, a P51D while flying a P51B, all F4U vareints while flying a F4U1, a FM2 and F6F while flying a F4F, All A6M varients while flying a A6M2, All 109 vareints while flying a 109E, All 190 vareints while flying a 190A-5, a La7 while flying a La5, All Spitfire varients while flying a SpitI, a Tempest while flying a Typhoon, All Hurricane varients while flying a HurriI (and probabley a half-dozen good/decent ones I'm missing).