Here is the full list of all 63 This Means Warp achievements.
Reach level 4
Reach level 5
Defeat the second boss
Complete 10 combat missions in a run
Reach level 2
Reach level 3
Extinguish a fire on your ship
Complete 5 combat missions in a run
Purchase something from the shop
Defeat the first boss
Defeat the second boss as Pants
Defeat the second boss as Ian
Defeat the third boss
Defeat the third boss as Pants
Defeat the third boss as Ian
Spend over $10,000 in the shop
Spend over $1,000 in the shop in a run
Leave money in the shop
Complete 10 non-combat missions
Complete 3 non-combat missions in a run
Complete 3 survival missions in a run
Phew! Survive a battle with under 10% hull health
Reach level 6
Reach level 7
Reach level 8
Reach level 9
Prestige once
Prestige twice
Prestige three times
Prestige four times
Prestige five times
Complete 10 survival missions
Complete 30 combat missions
Shoot your own ship
Earn money from the incinerator
Complete Scenario 1 - Shields Up!
Complete Scenario 2 - Power Overwhelming
Complete Scenario 3 - Double Tap
Complete Scenario 4 - Bombs Away
Defeat the final boss on hard
Complete 50 Combat Missions
Complete 100 combat missions
Train your crew at a trainer
Beat the game on Nightmare 3 Difficulty or Higher
Beat the game on Nightmare 5 Difficulty or Higher
Spend over $2,000 in the shop in a run
Complete 20 non-combat missions
Complete 20 combat missions in a run
Complete 150 combat missions
Phew! Survive a battle with under 20% hull health
Beam me up! Teleport to another ship
Reach the 1st shop with full health
Reach the 2nd shop with full health
Reach the 3rd shop with full health
Reroll the shop 3 times
Reroll the shop 5 times