USS Georgia - I've named my septum piercing georgia and it was the first name to come to mind that sounded shiplike
USS Shrike - I got my wildlife book from the kitchen and opened it on a random page. All the birds on the page I opened were different shrikes. The character this ship belongs to is called Henriette Aecellus - Henriette because that's the name of one of my ear rim piercings (only two of my seven piercings have names though), Aecellus because when I opened the wildlife book to find her surname it opened on the common woodlouse - Oniscus acellus. I liked the sound of acellus but changed it so it looked nicer. So I made it look nicer and so it sounded more like Aeschylus but not as harsh (because I'm an ancient history freak).
I think I may have participated in this thread a long time ago. However, I have some new ships since then.
U.S.S. Lafayette (Noble Class) for General Gilbert du Motier, marquis de Lafayette (French General that participated in the American Revolution)
U.S.S. Norseman (Envoy CLass) for the people of Scandanavia (Vikings).
U.S.S. Missouri (Stargazer Class) for the state.
U.S.S. Truman (Excalibur Class) for the 33rd President of the United States.
U.S.S. Praetorian (Miranda Class)--a guard of a Roman Emporer.
I have other ships, but these are the ones I put the most thought into. For my Klingon ships, I usually take a name the random name generator gives me. I've tried looking some of them up, but I haven't found translations for many.
Okay my main has always had the USS Smokey (Recon sci). He was a famous horse duffer in the Kimberley Australia. Seeing as though my Character was a refuge Bajoran Minner who worked the Kimberley's, it fitted into his bio. For my runabout I have Bandit. From Smokey and the Bandit. My defiant is called the USS Phantom from the comic book series and my other Sci vessel is called the USS Chaplain. After Charlie Chaplan.
I won't go into Thors ships, because you may as well look up Stargate ship names. Just named my runabout the X-302.
And my Klingon Alt ship names are all after Australian Female named cities. Currently IKS Adelaide I think.
USS Byrd - fleet escort named after polar explorer Adm. Byrd
USS Korolyov - assault cruiser named after Soviet space designer Сергей Павлович Королёв
USS Beagle - a science vessel named after Darwin's ship
USS Oppenheimer - my sci officer's advanced escort, named after atomic bomb designer
I like ancient astronomers, too. My flash drive is named Albategnius, but I held off on the name because there's already a USS Al Batani mentioned somewhere in trekdom. Kepler, my ipod, found its way into one of my sci officer's ships, though.