Here is the full list of all 65 Waveform achievements.
The base game contains 60 achievements, and there is 1 DLC pack containing 5 achievements.
Collect all stars in the game including all challenge mode stars
Collect all level stars and achievement stars in normal mode
Trap a Space Squid between two Color Barriers
Survive for 30 minutes in the Sun's Deep Space Mode
Get 100% on the Credits level
Get S-Rank on every level on the Sun
Complete the Sun
Collect 1000 revealed objects using Radar Arrays in Mercury's Deep Space Mode
Get S-Rank on every level in Mercury
Complete Mercury
Discovered all Black Holes
Destroy 50 Space Squids in Venus's Deep Space Mode
Get S-Rank on every level in Venus
Complete Venus
Warp a Space Squid through a Wormhole
Kill 25 Space Squids with Fireworks
Kill 25 Space Squids with Space Mines
Collect 1000 Light Orbs using Fireworks in Earth's Deep Space Mode
Get S-Rank on every level in Earth
Complete Earth
Travel 100000 AU through Particle Accelerators in Mars's Deep Space Mode
Get S-Rank on every level in the Mars
Complete Mars
Witness 200 Asteroid collisions in Asteroid Belt's Deep Space Mode
Get S-Rank on every level in the Asteroid Belt
Complete the Asteroid Belt
Collect 10 Rocket Fuel without losing boost
Travel 30000 AU through Refract Clouds in Jupiter's Endless Mode
Get S-Rank on every level in Jupiter
Complete Jupiter
Change the color of 300 objects with Prisms
Change the color of 20 objects with a single Prism
Travel 20000 AU through Wormholes in Saturn's Deep Space Mode
Get S-Rank on every level in Saturn
Complete Saturn
Trigger 30 Space Mines without taking damage
Destroy 10 Orbitals in Uranus's Deep Space Mode
Get S-Rank on every level in Uranus
Complete Uranus
Acquire 4 Floaters simultaneously
Complete a level after restarting from a checkpoint more than 5 times
Collect no Starlight in a Black Hole
Get S-Rank on every level in Neptune
Don't let the Singularity consume any Light Orbs
Destroy 200 Mirrors in Neptune's Deep Space Mode
Complete Neptune
Collect all Rocket Fuel in a level
Collect no points during a level
Last for 10 minutes in Pluto's Deep Space Mode
Smash 10 Mirrors consecutively
Discovered a Black Hole
Become all 3 colors in a single level
Get S-Rank on every level in Pluto
Trace all Waves 100% on a level
Take no damage in a level
Get 100% on a level
Complete Pluto
Earn the maximum speed multiplier
Get a 100% trace on a Wave
Warp through the portal at the end of a level
Travel 50000 AU to the left in Eris's Deep Space Mode
Complete Eris
Get S-Rank on every level on Eris
Use Pulsars to collect all hidden Light Orbs in a level
Engage all Pulsars in a level