On an editorial note, I’d like to mention the kits used that convert a conventional door to Lambo-style: every one I have interacted with has been awful. Normally, the kits retain the vehicle’s factory hinges to clear the body, so the door is opened a bit in the conventional fashion, then the door can be rotated up. Since the hinges move on two planes, the door must be lined up carefully to open and close, which is rather inconvenient. That said, the fact that so many cars have been converted speaks to how much people love the look of these doors, even if the function is severely handicapped.
Canopy doors
Pretty much the domain of concept cars, a canopy door basically lifts the roof off the car, and the sides could, in theory, come with the roof.