Here is the full list of all 63 Battle Riders achievements.
Wreck 1000 cars
Win 20 events with the Tempest
Hit at least 120 barrels in 18 different Barrels challenges
Wreck 100 cars with Mines
Win 20 events with the Vector
Win all Career events
Win 20 Survival events
Wreck 500 cars
Wreck 100 cars with the Raygun
Reach 330 in 18 different Minefield challenges
Achieve under 1:01 in 18 different Time Attack challenges
Win 10 Time Trial events
Unlock all Metropolis tracks
Win 40 Battle Race events
Wreck 100 cars with the EMP
Wreck 50 cars with Mines
Win 20 events with the Meteor
Wreck 100 cars with the Machinegun
Win 10 Duel events
Wreck 100 cars with Missiles
Win 20 events with the Iridium
Win 10 Clean Race events
Win 10 Elimination events
Win all Tier 2 events
Wreck 50 cars with the EMP
Wreck 50 cars with the Raygun
Win 10 Survival events
Win 20 events with the Sabre
Unlock all Canyon tracks
Wreck 10 cars with Mines
Wreck 10 cars with the EMP
Reach 330 in 9 different Minefield challenges
Hit at least 120 barrels in 9 different Barrels challenges
Hit at least 120 barrels in a Barrels challenge
Reach 330 in a Minefield challenge
Achieve under 1:01 in 9 different Time Attack challenges
Achieve under 1:01 in a Time Attack challenge
Win 5 Time Trial events
Repair your car 100 times
Win 5 Duel events
Wreck 50 cars with Missiles
Unlock all City Limits tracks
Win 20 Battle Race events
Win 20 events with the Blaze
Win 5 Clean Race events
Win 5 Elimination events
Wreck 100 cars
Win 20 events with the Raptor
Wreck 10 cars with the Raygun
Win all Tier 1 events
Repair your car 50 times
Wreck 50 cars with the Machinegun
Wreck 30 cars
Wreck 10 cars with Missiles
Win a Duel event
Win a Clean Race event
Win a Time Trial event
Win an Elimination event
Repair your car 10 times
Wreck 10 cars with the Machinegun
Win a Survival event
Win a Battle Race event
Wreck a car