First campaign I ran was an Akira class, USS Nighthawk, with experimental systems to make it low detection, and for a task, able to disguise as another ship.
Ran during the middle of the Dominion War as part of a behind enemy lines mission with a couple of other ships. Managed about half a dozen missions/raids before we decided to change campaign (and actually left the Nighthawk as a cliffhanger).
Now, running a campaign on a Nova class, USS Solstice. Done 2 Episodes so far (although it’s taken 8-10 sessions on Roll20), the first mission was my own creation (a panspermia civilisation from millenia ago had launched asteroids at a star system, and annihilated a planet in the system - by accident - with another seeded asteroid incoming to impact a planet with cryostatis pods from a crashed ship), and the 2nd mission was Border Dispute from These are the Voyages.
They’ve just started another episode, another of my own creation but inspired by one of the posts here (a binary star system with a solitary planet equidistant and held between the two, with a garbled distress call)