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