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