Here is the full list of all 21 Motorama achievements. It takes around 3-4 hours to unlock all of the achievements on Windows.
Defeat Brian Wetherby III and take away his girlfriend
Win a Time-attack event
Win a Knockout event
Win a Lap record event
Buy your first car
Win your first event
Win a Race event
Win a Sprint event
Win your first gold medal
Defeat Dennis “Salesman” Rockmond and take away his girlfriend
Defeat Billy Bob Sykes and take away his girlfriend
Defeat Ricardo “Azteca”Vargas and take away his girlfriend
Defeat Sergeant Alec McAndrew and take away his girl
Reach full car performance improvements
Get all visual improvements for one car
Win a race with manual transmision
Buy one car for each class
Win a Escape event
Win a Pursuit event
Win a Stunt event
Reach rank 10