Although I agree with Dennis that Forbidden Planet can't be matched by other fare of the fifties, Destination Moon is very enjoyable.
I don't mean to speak for Dennis, but since he's not around, what he said was in terms of visual design, not enjoyment.
Yeah, the OP's question concerned other movies matching FP's "visual aesthetic" and I really don't think there are any comparable. There are quite a number that are good and enjoyable, and I'd list When Worlds Collide and War Of The Worlds among them - The Time Machine, as well. George Pal was great.