Here is the full list of all 53 Hotshot Racing achievements. It takes around 25-30 hours to unlock all of the achievements on Windows.
Drive or Explode: Cause 3 vehicles to explode within 10 seconds of hitting them.
Finish first in the Boss Level GP on Expert
Come 1st in every GP as any character on Expert.
(Cops only) Convert 3 Robbers into Cops in a Cops & Robbers race.
Achieve 1st place as Mike in any Grand Prix on Expert.
Come 1st in 9 online races (any game mode)
(Robbers Only) Perform a donut in a race and achieve the highest score.
Purchase all customisation options.
Unlock all customisation options.
Achieve 1st place as Xing in any Grand Prix on Expert.
Achieve 1st place as Toshiro in any Grand Prix on Expert.
In Drive or Explode, crash into another racer causing them to explode.
Achieve 1st place as Viktor in any Grand Prix on Expert.
Achieve 1st place as Aston in any Grand Prix on Expert.
Achieve 1st place as Keiko in any Grand Prix on Expert.
Achieve 1st place as Marcus in any Grand Prix on Expert.
Complete a race in every vehicle.
Achieve 1st place as Alexa in any Grand Prix on Expert.
Beat a downloaded ghost time in Time Trial.
Drive inside a ghost in Time Trial for 5 seconds.
Drive or Explode: Finish a lap without taking any damage. (Restored health is irrelevant.)
(Cops only) Convert a Robber by colliding whilst driving in the wrong direction.
Cross the finish line on Drive or Explode at 300mph.
Reverse across the finish line and take 1st place in an arcade race.
Slipstream behind a player for 5 seconds.
Complete a race without colliding with another racer.
Set a personal best time on every track. (No mirrored track required.)
In Drive or Explode, explode before reaching the 1st checkpoint.
Finish a Barrel Barrage race without hitting a single barrel
Beat 5 personal bests on any track.
Customise every aspect of a vehicle and complete a race with it.
Beat a default ghost time in Time Trial.
Finish a Barrel Barrage race on fire
Finish an arcade race on every track.
Come 1st in 16 arcade races on different tracks.
Fail a start line boost and take 1st place in arcade mode.
Build your boost meter to full from empty twice in a race.
Come 1st in 8 arcade races on different tracks.
(Robbers only) Complete a race of Cops & Robbers without being converted into a Cop.
Complete a race on a mirrored track.
Come 1st in 4 arcade races on different tracks.
Come 1st in an Arcade Race after dropping to 8th place from 1st place.
Finish a race with 20 track destructibles destroyed.
(Cops Only) Convert 2 Robbers within a second of eachother
Play an Online race.
Play an Online race with a customised vehicle.
Build a full boost bar segment from one drift.
Perform 10 boosts in a race.
Drive or Explode: Finish a race on fire.
Start the explosion timer 4 times in Drive or Explode.
Come 1st in an arcade race.
Exit a Drift with a Boost.
Come 1st and beat 2nd place by 1 second.