Here is the full list of all 32 Invector: Rhythm Galaxy achievements.
Get an "S Rank" on 20 levels.
Get an "S+ Rank" on 20 levels.
Get an "A Rank" on 20 levels.
Collect 10000 Perfects.
Jump 1000 times with the ship on the Road.
Get 100% note completion on Normal.
Twist the Tunnel 1000 times.
Get 100% note completion on Ultra.
Complete a song on any difficulty in split screen.
Get a total score of 250 000 across all tracks and difficulties.
Visit the Sea of Dunes.
Hit 100 gates in Freefly.
Get 75% Perfects on any song.
Boost without missing anything on Ultra difficulty.
Get 100% note completion on Hard.
Land 25 Perfects in a row.
Collect 1000 Perfects.
Land 15 Perfects in a row.
Complete a song on any difficulty in Single Player.
Get 25% Perfects on any song.
Get 50% Perfects on any song.
Hit all gates in a Freefly segment.
Get an "S+ Rank" on all levels.
Complete all levels.
Get a total score of 1 000 000 across all tracks and difficulties.
Unlock all ships.
Complete the story by reaching the Origo Gateway.
Unlock all hidden songs.
Complete all challenge levels.
Complete 100 tracks.
Exit or restart from any ongoing track 100 times.
Unlock all worlds.