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