(Or, if you'd prefer, reboots or re-imaginings -- me, I'm not sure those terms have much use outside of marketing designed to avoid the stigma of remakes).
I think reboot has a purpose when it's talking about getting a franchise
to reset rather than an individual film. I mean Abrams' Star Trek
and Batman Begins
and Casino Royale
are not remakes of previous films, but they are clearing the detrius of their preceding films and getting back to basics. The stories may be derived or partly derived from other sources but none of them are straight up remakes of an earlier picture.
Well, technically Casino Royale
was the third
time around for that particular Bond tale, but we'll agree that the first two adaptations don't really count . . . .
Just to show my age, I'd also add the early Hammer Films back in the late fifties and early sixties, which basically rebooted the old Universal Horror franchises . . . and quite successfully.