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