If you're talking about ships of planets' own armadas, then that self explanatory. If you're talking about Starfleet ships, then there was only one example of this. It was in an episode where Odo plays an umpire. Let's be real.
There was also the Intrepid in "The Immuninuty Syndrome" and the Hera in "Interface", though the latter wasn't entirely Vulcan.
Mr. Laser Beam wrote:
In Captain Solok's case, it's understandable, as his evident racial prejudice against Humans would almost certainly preclude him serving on the same ship as them. He believes Vulcans are a superior race (which is in itself an anti-Federation and illogical view), so naturally he would want only Vulcans on his crew.
Would a captain even be allowed to do that? And what if Bolian, Andorian, Trill, Bajoran, or Betazoid crewmembers were assigned to the ship. What would his attitude be towards them?