Here is the full list of all 28 Very Very Valet achievements.
Complete all of the missions in World 1
Complete all of the missions in World 2
Complete all of the missions in World 3
Complete all of the missions in World 4
Collect 3 stars on all of the missions in World 1
Collect 3 stars on all of the missions in World 2
Collect 3 stars on all of the missions in World 3
Collect 3 stars on all of the missions in World 4
Collect 20 Stars
Collect 40 Stars
Collect All 72 Stars
Collect 10 Red Stars (Play with the Expert Rule Set)
Collect 20 Red Stars (Play with the Expert Rule Set)
Collect 30 Red Stars (Play with the Expert Rule Set)
Complete the tutorial
Play with a custom Rule Set
Use a power up
Have a car mysteriously abducted
Share a car with another Valet
Take a look at the Techniques screen in Settings
Reach 4 seconds of airtime while in a car
Watch a replay
Honk any car horn
Throw yourself a little party when landing on the ground as a Valet
Unlock Comms as a playable Valet
Get all 4 Valets into a single car
Get all 4 players to agree on their favorite clip
Get all 4 players to pick unique favorite clips