Here is the full list of all 22 LOVE 3 achievements.
Level 08: Descend the stage without touching any safety platforms
Level 02: Drop the Ball
Level 14: Fly the first carrier all the way to the end
Shoot your checkpoint with a cannon
Beat LOVE 2: kuso
Beat LOVE 1
Land after falling for more than 3 seconds
Level 06: Skip a large portion of the level
Beat LOVE 3
Level 03: Trigger the secret area without dying
Collect all 26 LOVE 3 Secrets
Bork & Niko
Beat LOVE 3 in under 22 Minutes
Beat LOVE 3 in under 150 Deaths
Get all LOVE 1 Tokens in a Run
Get all LOVE 2 Tokens in a Run
Get all Charlie Tokens in a Run
Beat LOVE 1+2+3 in under 69 Minutes
Beat LOVE 1+2+3 in Arcade Mode
Beat LOVE 1+2+3 100%
Beat every LOVE 3 Level in YOLO Mode
See the Secret Ending