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