A tricky one, this. I’m trained as a writer to locate and deploy my own ideas rather than spend time pining away on IPs I am unlikely to ever get to take charge of myself. Thus, rather than work toward the renovation of a classic TV show, I aim to create new spec features and script pilots for original series in the hopes that they (a) get made themselves or (b) land me a writing gig on a quality series somewhere. Once that’s done, it seems, I can pursue gigs that’ll give me influence on beloved franchises like Star Trek or Mission: Impossible.
That’s a long and difficult process, though, so instead let me say that I’d like to return Mission: Impossible to the air (perhaps alongside the continuing feature films) as a weekly action-drama series with serious peril and a bit of its original premise as an antho series with a rotating cast. Put it on FX, maybe. I wouldn’t make it any soapier, exactly, but I’d put more emphasis on the unusual sorts of people drawn to the IMF’s original methodology of non-official-cover agents, have agents get disavowed a little more often, and maybe do one 2-3 ep arc per season that sees multiple impossible missions undertaken in series (or in tandem!) to bring down a big villain.
That said, I’d happily bring the new Star Trek universe back to television, too, since you’re offering.
Edit: Another reason to put Mission: Impossible back on television? The music of the theme and “The Plot” recorded for every episode in some new way.