Here is the full list of all 36 ROCKETSROCKETSROCKETS achievements.
Win a 4 player match without getting hit
No collisions occurred during a 4 player match
Drop 5 bombs on yourself
Win a duel against a player using only nukes
Win a duel against a player using only bombs
Achieve at least 25% Accuracy in a match
Achieve at least 50% Accuracy in a match
Achieve at least 100% Accuracy in a match
Collide with a floating star 20 times in a match
Win 5 Duels against an AI opponent
Achieve a combat-free experience for 30 seconds
Win a duel against Stanley using a single weapon
Beat Stanley in a Duel without using your shields
Win a Duel against an AI opponent
Win a duel against one other person 5 times
Participate in a 3 player match
Participate in a 4 player match
Win a duel against one other person
Achieve at least 10% Accuracy in a match
Boost 20 times in a single match
Win a match with your (human) team taking no damage
Collide with terrain 10 times during a match
Strike your opponent 10 times in a Duel
Win a match in under 30 seconds
Win a match in under 20 seconds
Collide with an opponent while boosted
Reflect a bomb using your shield
Reflect a missile using your shield
Collide with an opponent while boosted 5 times in a match
Achieve a combat-free experience for 2 minutes
Reflect 20 bombs using your shield in a single match
Reflect 20 missiles using your shield in a single match
Win a duel against Stanley using all weapons
Beat Stanley in a Duel without shooting or ramming.
Win 20 4 player matches in a row
Win 10 4 player matches in a row