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