You have the golden chance to "Accidentally" Blow one member of the Crew of each of the Television series out of an Airlock (with the certainty that this will be Permanently fatal and they won't be saved by "reversing the particle flow on the neutron ram" or some other mcguffin )
Who do you want to see float away into the night forever?
And to start us off here are mine (Reverse chronological order)
Voyager Neelix (for being annoying and clearly a rip off of Quark)
Deep space nine Worf (behaving like a love sick puppy not a Warrior)
TNG Wesley Crusher (being an annoying little pest)
Star Trek Original series Janice Rand (gratuitous flirting)
Enterprise Hoshi (crimes too numerous to mention)
TOS: Kirk (Dumb beyond belief and a bad rolemodel)
TNG: Troi (Shes annoying... And dosen't really contribute to anything but a new enterprise)
DS9: Ezri (Small and shallow... Her whining got on my nerves from day one)
ENT: Hoshi (Shes a wimp... Her whining got on my nerves from day one)
I'd probably throw some of the story-writers out the airlock from TOS, myself. I've been watching them back-to-back for the first time for the last few weeks. They only had about 4 plots that they just reused over and over.
Powerful computer runs amok!
Find a higher being (like Q) on a remote planet!
Time is being rewritten!
Hmmmm that's something we haven't seen in this game yet that would be fun: a fish-eye view to simulate space madness.