I dunno the flag ship assassination just seems to mean to me, so I thought of few other variants.
Capital Assassination:
you cannot change your capital, if your homeworld is destroyed, you lose.
Supply Lines:
if you have a planet/roid that is not adjacent to another colony, the buildings stop working, and the culture/loyalty decrease very very quickly. (I would just have this be standard in the game personally)
Super-Flagships:
your flagships have double health, etc.
You guys have any cool ideas?