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