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