This is an SF story, and need some crimes that are not extreme (like murder) - but having a little difficulty thinking them up. Maybe you could inspire me??? <pleads>
I don't mean to be rude, but seriously. Even the laziest writer in the world can look up Wikipedia when they are stuck...
Crime - Wikipedia, the free encyclopedia
If the character is going to be framed, you need to work out not only what crime(s) he's being framed for, how they are framing him, who is framing him, why they are framing him, how they cover their tracks and what route the police investigation takes (if there is a police force), how he escapes, how he finds out who framed him and presumably how he turns the tables.
And why not extreme? If it's important to the plot that he merely be ruined rather than locked up forever then the antagonist needs him for something.
That's a
lot of plot to be asking other people to think about for you. To be honest, if I sat down and applied myself to the task of "man framed for a list of science fiction crimes", I'd end up with something I'd use myself. Or I'd realise it's 5.40 am and try to re-write the Thirty-Nine Steps
in space.
Maybe it's just me, but at this stage of a story, the only inspiration I can seriously offer you is by telling you to wrack your brains, read your little heart out, and
think, think, think. If you can't come up with something at even this nebulous point, the horrible truth may be that you don't have that story in you yet.