Here is the full list of all 19 Bicycle Rider Simulator achievements.
Start your first ride
Finish your first ride
First fall down
Find your first coin
Unlock new rider
Finish any map without falling down
Fall down 25 times per one trip
Crash your bicycle 500 times
Complete any map during 2 minutes
Fall down into the river
Fall down into the river 50 times
Unlock new bicycle style
Finish map "Forest Willy" at first time
Finish map "Ricky Blicky" at first time
Finish map "Mount Slide" at first time
Finish map "Lovely Rivera" at first time
Finish map "Mount Foggy" at first time
Complete the challenge "No Checkpoints"
Complete the challenge "Turbo Bicycle"