USS Acropolis : The acropolis in Athens, being a fan of mythology
USS Enceladus: A giant beaten by Athena, buried under the Etna
USS Sleipnir: Sleipnir is Odin's eight-legged steed (found it cool with the 8 nacelles ship I have ^^)
(Light Cruiser) USS PATTON - Named for George S. Patton
(Science Vessel) USS HAWKING - Named for physicist Stephen Hawking
(Cruiser) USS PATRICIA PRINCE - Named from the old Fasa Trek game, I just liked the name.
(Research Vessel) USS ARCHIMEDES - Named for the ancient Greek scientist and philosopher.
(Heavy Cruiser) USS ARGO - Named for Jason's ship in Greek mythology.
(LR Science Vessel) USS VALIANT - Named for the ship lost at the beginning of "Where No Man Has Gone Before."
(Explorer) USS REPUBLIC - Named for the Constitution class ship of the same name, Kirk's first assignment.
(Reconnaissance) USS ENDEAVOUR - Named for the most famous of Captain James Cook's ships.
My cruisers get artist names (like Haruki Murakami)
My escorts get military names (like Smedley Butler or Chesty Puller)
Myscience vessels get scientist names (like Richard Dawkins, Carl Sagan, or Charles Darwin)
Well my captain's name is a conglomeration of the name of a hero of the Texas Revolution and first president of the Republic of Texas, and the surname of the first American land grant holder in Texas, Green DeWitt. I command the USS Karankawa, name of an indigenous tribe that lived along the Texas Gulf Coast, and who all succumbed to disease by the Civil War. They were fierce warriors, and compassionate humanitarians. They sat on the beach and cried with the survivors of a Spanish shipwreck and then took them into their village.
Starfleet should be both compassionate in their efforts to aid those in need, and be fierce warrios when combat is the only remaining option.
My alts use randomly generated names for ships, and my KDF character is all random as well.
I started my "career" as a Smuggler in SWG (well, ok, as a BH, but I didnt get addicted until I went smuggler)
It has influenced my ship names since:
USS Voodoo - Light Cruiser
Named for my old ship in SWG, which was named for my old and current computer's manufacturer. I never liked this ship name. I should have gone with the model name of the computer, the USS Omen sounds much better. USS Voodoo ____ something... two words are needed, voodoo does not work well as a noun.
USS Eris - Escort
Named for the goddess of chaos, before I settled on a naming scheme.
USS Bishamon - Heavy Escort
the Japanese god of luck in combat. Here I stumbled back into my Smuggler's ways, focusing, at least for a time, on Luck.
USS Tyche - Tactical Escort
Greek god of luck, specifically prosperity.
USS Mjöllnir - Fleet Escort
Thor's Hammer. Here I realized these ships were truly more weapons, and skill, not luck, brought out their best qualities. That and my first choice, USS Fortuna, is taken by a canon ship. I have recently returned to this ship, the new skin's saucer makes it even more a hammer, and it still hits hard and fast. It feels more a blunt instrument than the darting blade that is an Advanced.
USS Misericorde - Advanced Escort
"A misericorde was a long, narrow knife, used in medieval times to deliver the death stroke (the mercy stroke, hence the name of the blade, derived from the Latin misericordia "mercy") to a seriously wounded knight. The blade was thin enough so that it could strike through the gaps between armour plates." (Wikipedia) And indeed, by this time I was mastering the art of the surgical alpha strike, and improving on my survivability through Science BO skills, rather than the brute force Engineering skills of the Fleet Escort (which I have since returned to, thanks to the new C-Store skin).
My Engi captain's Galaxy is named Yorkshire, as well. Much for the same reason. I'll be transferring him to the Lexington when he gets his Sov. Which will obviously be named for another famous WWII US aircraft carrier. Either that, or the Hornet.
My Prometheus is named the USS Perseus... think there's no need for explaination there, but it was just in keeping with great Greek mythological figures that the class is named after, and Perseus just happens to be one of my favorites.
I had the USS Nassau at one point. Not cuz I like the place in particular, but I sure do like the Sloop John B.