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