I'd be fine with either an Original Series or Next Generation reboot in the original continuity, with more of the original series mood - have fun exploring, and be human while doing it, not bland. Show Captain April and Captain Pike, show a few more aliens in the crew, show more of the crew doing things aside from the senior staff doing everything (TNG seemed to overly rely on only 7 people most of the time). If it were TNG, avoid the jumpsuits, go with something else
. If it were TOS, just update the ship aesthetic (not-so-cavernous hallways, touchscreens, and bridge monitors that don't look like pictures, more controls on helm/nav, avoid the gel buttons without labels).