I had a bit of a chuckle the other night when I watched 4 episodes of Murder, She Wrote with 4 guests from 4 different Star Trek series.!
Going back even further ... try doing it with "Gunsmoke." With its 20 year run quite a few Trek actors worked on it. It even seems as though I've been able to spot at least one per episode - of course that includes actors who guest-starred on Trek and not just series regulars (though Nimoy made several villianous appearances).