Here is the full list of all 44 Sonar Beat achievements.
Calibrated for the first time
Beat "Adrift"
Beat "High Tide"
Beat "As The Crow Flies"
Beat "Bale Out"
Beat "Afternoon Watch"
Beat "Cut and Run"
Beat "Deep Six"
Beat "Cruising Speed"
Beat "Feeling Blue"
Beat "Davy Jones' Locker"
Beat "Sea Breeze"
Beat "Eternal Beat"
Play a song that you have already finished
Replay any song 5 times
Share your score on Twitter from the game menu
Check your position in the ranking
Die 10 times
Detonate 10 shock waves
Reach a multiplier of x2
Reach a multiplier of x3
Reach a multiplier of x4
Reach a streak of 100
Reach a streak of 200
Reach a streak of 300
Destroy 10 enemy pairs
Destroy 50 enemy pairs
Destroy 100 enemy pairs
Hit two green enemies at once
Beat 99 enemies
Beat 500 enemies
Beat 1000 enemies
Beat 2112 enemies
Beat 3000 enemies
Destroy 1500 blue enemies
Destroy 20 green enemies completely
Destroy 20 pink enemies completely
Playing any song, don't attack until the first enemy reaches the inner circle
Complete two consecutive levels in the same run
Complete any level without taking damage
Reach your first Game Over
Unlock "Game+" mode
Play in "Game+" mode
Obtain all achievements