Is there a name for the Delorean car door that swings skyward? What about the Lamborghini door that swivels upward, like a pocket knife?
Well, the Delorean style is called “gull-wing doors.”
edit: Wikipedia also provides a list which may interest you.
Thanks for the tip! :o To quote the Blues Bros., “This place [Wiki] has everythng!”
As for the Delorean, I was gonna say it’d look like a seagull if it had both doors open! 
I’ve heard the Lamborghini style called “scissor” doors.
Oops, shoulda looked at Sailboat’s link first.
People who retrofit other models of cars to have the Lamborghini-style doors typically just call them “Lambo doors”. Everyone knows what that means.
I don’t often say this, but what that page needs is some animated GIFs.
Yup. It means you’re a chav. 
Nothing but trouble and effort from all of them.
What you need is a disappearingcar door…
This is what I’m doing with my lottery winnings this Saturday.
I came in to mention Lambo doors but apparently that’s chavbait. I work with a guy that had them on his PT Cruiser.
Now that is awesome. It would be so fun to drive with both sides open, like a horizontal convertible. It is the perfect upgrade for your 1997 Lincoln Mark VIII.
Nah, if you want a cool, disappearing car door, it’s got to be the Kaiser Darrin.
What about the doors on the General Lee?
They are addressed in this here Dope thread but a name isn’t given. Is there one?
I always heard them called “NASCAR doors”. Back in the 50’s when NASCAR stock cars actually started out with… wait for it… stock cars, one of the modifications done to them before racing was welding the doors shut for safety reasons as well as stiffening the body.
The only cool disappearing door are the ones that all Jeeps have.
The drop down or disappearing door thing has been done on a production car. The BMW Z1