Rescue 6,000 Jintinda
"Jintinda" are the blue ships that you collect throughout the space portion of the game. Every level has about 200 or more Jintinda that can be rescued, so you should meet the requirement for this trophy before you complete the game. Rescuing Jintinda is also cumulative, meaning that you can rescue the same Jintinda over and over again until the trophy unlocks.
A perfect level to farm rescues is in the 50th level, Terminal Velocity. There are 400 Jintinda and you can complete the level in under a minute on a perfect run.