Here is the full list of all 21 One Ship Two Ship Redshift Blueshift achievements.
Win without firing lasers
Reach top speed with ball in Single Player Mode
Score 5 Points in a row
Score 3 Points in a row
Hit at least 3 canisters, get 100% accuracy
Don't move in paddle mode for 3 points
Beat Easy 10 to 0
Beat Tough 10 to 0
Beat Pro 10 to 0
Beat Shazbot in a game to 3
Beat Shazbot in a game to 5
Beat Shazbot in a game to 10
Beat Shazbot 10 to 0
Keep a Two Player match going for 10 minutes
Play Two Player Match with Missiles
Play a Two Player match with no weapons
Hit every power-up in a Two Player Match
Play 8 Rematches in a Row in 2P Mode
Play Two Player Match, both players reach 9 points
No input from player two
Keep a Two Player Game going for 15 minutes