So... let's play a game....
I'll start by saying a way a redshirt can die, then the next person has to do another way to kill a redshirt that starts with the first letter of the last word and so forth. This is Star Trek, so be as creative as you want, just no gore and over violence.
Example:
Falls off a
Cliff
Catches Rigellian
Pneumonia
Pokes a mysterious goo
You get the picture