Here is the full list of all 29 Slipstream achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Win a race in Grand Prix mode without any car upgrades.
Complete everything.
Reach every exit defeating all the rivals along the way.
Visit all the tracks in Arcade Mode.
Win a battle royale match.
Win a cannonball race of all 5 nighttime tracks, in any order.
Defeat all the rivals in a cannonball race of 5 or more tracks.
Win a cannonball race of all 5 secret tracks, in any order
Complete all possible routes in Arcade Mode.
Get to all the exits in Arcade Mode.
Win a cannonball race of 5 or more tracks.
Win a cannonball race of 15 tracks.
Defeat every rival character in Arcade Mode at least once.
Defeat Camilla in Highgate Cemetery.
Defeat Norman in Parthenon.
Defeat David in Neon City.
Defeat Tofu Boy in Akagiyama.
Defeat Alex in Metropolis.
Win a race with every car model in Quick Race Mode.
Defeat all the rivals in a single Arcade Mode run.
Get to the finish line in Arcade Mode.
Win all the races in all cups.
Win the Diamond Cup.
Win the Emerald Cup.
Win the Sapphire Cup.
Complete a stage in arcade mode without touching anything.
Win the Ruby Cup.
Win all the races in any cup.
Stay on the slipstream for more than 15 seconds in any mode.