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