I can think of one remake off the top of my head that was so much better than the original (not that the original was bad, it just wasn’t done right by the source material). The Thing.
Having said that, I would like to see a prequel, and then a remake of the original. Forbidden Planet. I would like to see what happened to the science team as they discover the alien planet, and then watch as their subconsciouses kill each other off one by one. And then see what happens when the unsuspecting rescue team shows up and gets torn apart (partially) as well.
Some things would have to be changed. There is no reason why a ship’s computer systems would have to be torn apart and rebuilt to create a long range communication system. But I think that modern technology could do wonders for that story, if it were scripted and directed properly.