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