Of course (and in tribute to Iain Banks) my answer should probably be ‘A General Systems Vehicle’ (tens of miles long, unbelievably powerful spaceship run by benign and godlike AI Minds) but I have to admit I still have a soft-spot for the Mig-31 Firefox from the book and movie of the same name.
Mach-5+ capable, radar invisible, thought-controlled, Soviet superfighter. 30 years on and it still looks futuristic and sinister.
Of course, if I had a GSV it would probably make me one if I asked! 
The Toyota 2000 GT convertible from “You Only Live Twice”.
Movie : I’ll take any of the BATMOBILES please…
TV Show : Just for nostalgia, I want Walt & Jesse’s RV from Breaking Bad.
Honorable mention : The light cycles from Tron.
Hear, hear!
One couldn’t really “have” a GSV, but I’d be more than satisfied with residence on one that liked me.
But the question was for TVs and movies, wasn’t it? Has a GSV been in a TV show or movie yet?
Thinking about personal sized vehicles:
The flying motorcycle from MegaForce
The hoverboard from Back to the Future II
The landspeeder from Star Wars (I need to be able to still pick up groceries)
The space Winnebago from SpaceBalls
Well it would probably amuse the Mind to let me think I owned it!
Damn, yes, good point, that’ll teach me to skim read…although I’m going to stretch the definition and say there was a short (and pretty good) youtube fan movie set on one and so my choice is still valid. 
The Tumbler. That is, the latest edition of the Batmobile.
You’d be better off with the version from that Simpsons episode - helicopter blades, spring-loaded boxing glove, robotic toothbrush…
Am I really the first to claim Serenity? With original crew, please.
There it is.
Done.
In real world vehicles…
I’ll take the Silver Nissan GT-R out of the 6 Fast 6 Furious trailer.
Hey, it’s in a movie…and they’re just too awesome and relatively affordable street vehicles to pass up.
Opened this thread to nominate the Millennium Falcon. After all, the Falson made the Kessel Run in “less than twelve parsecs.” But that line has always bugged the hell out of me because everyone knows—or should know by now—that it’s completely wrong! Lucas should be ashamed of himself. It should be, “The Falcon made the Kessel Run in fewer than twelve parsecs!” Sheesh!
But, after reading the thread… Yeah, the TARDIS. Knock about space/time and cruise [del]hot chicks[/del]companions.
OK, so the TARDIS and Enterprise-E have already been claimed.
I would like to have S.H.I.E.L.D’s helicarrier.
And Sgt. (oh, mistake) Director Fury’s trench-coat.
A General Products hull with a star drive. I would need a Slaver stasis box, too
Nimbus 2000. The Firebolt’s too hot for me. I’m a middle-road kind of guy.