Journey to Babel. Tellarite Ambassador Gav is murdered by an Orion spy. Naturally, Gav's family might have something to say about that, not to mention the Tellarite government due to lack of proper security with high profile passengers aboard.
In this case, the suit wouldn't be against Kirk necessarily, but against the Federation or Starfleet itself, plus a messy diplomatic situation.
At this point, what difference does it make if it was because of a Starfleet plot or was it because of a Vulcan out for a walk one night decided he’d go kill a Tellarite?