Here is the full list of all 21 The Away Team achievements.
Beat the game on Ellison 2e (1 of 2)
Beat the game on Drake 77 (1 of 2)
Beat the game without losing any crew
Have an entire away team die
Benefit from researching stellar phenomena
Collect 5 mementos
Add an "alien" to your crew
Cannibalize a crew member
Have your last crew member starve
Run out of fuel for the engines
Beat the game on Drake 77 (2 of 2)
Beat the game on Ellison 2e (2 of 2)
Make 50 light jumps
Travel 500 parsecs
Visit all planets and stations
Consume 600 food
Collect all mementos
Benefit from researching all stellar phenomena
Get all characters any endings alive (including hidden characters)
Have all characters die (including hidden characters)
Add a lost soul to your crew