CF-210
Finish the game once.
CF-240
On level 0 you must wait. Do not shoot the core free. Wait 3 minutes, then the core will be dropped. Do not pick up the core or you will die of radiation. Wait another 3 minutes. A message will pop up telling you to grab the core. Grab the core and you will be transported out and unlocking this ship.
MF-310
Reach level 10 in less than 6 minutes. Yes, it can be done.
XF-480
Complete a level with no enemy deaths. Yes, this can also be done.
XF-490
On each level is a computer console, near where you start. Set the state of each console based on the level as indicated below. This unlocks this ship.
Level 1: Alpha
Level 2: Beta
Level 3: Gamma
Level 4: Beta
Level 5: Gamma
Level 6: Alpha
Level 7: Gamma
Level 8: Alpha
Level 9: Beta