I want to see a classic film remade about as much as I would want to have a classic book rewritten.
But I agree that not all films were classics and there is room for improvement.
Very interestingly, The Girl with the Dragon Tattoo spawned *two* films. I only saw the Swedish version, which was excellent - actually, better than the book, I thought. However the English one also got excellent reviews. This is unusual! I wonder which one will be considered the classic in years to come.