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