I once tried to figure out what TOS episodes could be retold as Mirror Universe stories, and the answer was, not many. Generally, they seemed to break down into three categories: stories that wouldn't happen at all because they were about humanitarian missions or freeing oppressed societies; stories that would be wrapped up very quickly by just blowing up the problem; or stories that would unfold pretty much the same because they were about fighting off attacking monsters or doomsday weapons or what-have-you.
Not to mention the Voyager angle where the question would be, in the Dark Mirror
universe, would Voyager have really bothered going after a ship the was presumed destroyed, and thus getting pulled into the Delta Quadrant? I don't think a Mirror-Voyager Invasion
story would've worked.