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.
Come 1st in 9 online races (any game mode)
(Robbers only) Complete a race of Cops & Robbers without being converted into a Cop.
Play an Online race.
Play an Online race with a customised vehicle.
Finish a race with 20 track destructibles destroyed.
Beat a default ghost time in Time Trial.
Beat 5 personal bests on any track.
Finish a Barrel Barrage race on fire
Customise every aspect of a vehicle and complete a race with it.
Start the explosion timer 4 times in Drive or Explode.
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 4 arcade races on different tracks.
Complete a race on a mirrored track.
Fail a start line boost and take 1st place in arcade mode.
Achieve 1st place as Marcus in any Grand Prix on Expert.
Achieve 1st place as Xing in any Grand Prix on Expert.
Achieve 1st place as Mike in any Grand Prix on Expert.
Complete a race without colliding with another racer.
Build your boost meter to full from empty twice in a race.
Slipstream behind a player for 5 seconds.
Finish first in the Boss Level GP on Expert
Achieve 1st place as Alexa in any Grand Prix on Expert.
Achieve 1st place as Viktor in any Grand Prix on Expert.
Come 1st in every GP as any character on Expert.
Achieve 1st place as Aston in any Grand Prix on Expert.
Build a full boost bar segment from one drift.
Achieve 1st place as Toshiro in any Grand Prix on Expert.
Achieve 1st place as Keiko in any Grand Prix on Expert.
Exit a Drift with a Boost.
Come 1st in an arcade race.
Come 1st in an Arcade Race after dropping to 8th place from 1st place.
Come 1st and beat 2nd place by 1 second.
Perform 10 boosts in a race.
Drive or Explode: Finish a race on fire.
Reverse across the finish line and take 1st place in an arcade race.
(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: 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 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.)
Unlock all customisation options.
Purchase all customisation options.
Finish a Barrel Barrage race without hitting a single barrel