Here is the full list of all 27 Spectra achievements worth 1,000 gamerscore. It takes around 6-8 hours to unlock all of the achievements on Xbox One.
You have completed a track without any collisions
You have completed all Achievements
You have completed all tracks on both difficulty settings
You completed a track with 50 successful "Nice!" bonuses
You have cashed in a score buffer of more than 3000 points
You managed to get a score multiplier of 15 or more
You have looked at your stats
You managed to get a score of 9000 or more on one track
You have a combined best score of 100 000 or more
You have completed a track with 100 collisions or more
You have completed track 04
You have completed track 08
You have collected 100 or more Pickups whilst maintaining a score buffer
You have completed track 01
You have completed track 10
You have lost 100 times
You have completed track 09
You have lost a score buffer of more than 3000 points
You have completed track 06
You have cashed in an Air bonus while maintaining a Score Multiplier of 10 or more
You have completed track 02
You have collected 10 000 Pickups
You have completed a track on Hardcore difficulity
You have completed track 07
You have unlocked all tracks
You have completed track 05
You have completed track 03