Surely it also depends on the Classic film, those made from Classic books are the most ripe for re-doing and no one seems to object. Jane Eyre is one which is remade every 10 years or so. Pride and Predjudice even Sense and Sensibility the later films are far better and more true than those made in 1940's. I am including TV adaptations in this I know.
But on the whole I agree why does Hollywood insist on re-making classic films, there was talk at some point of remaking Blade Runner (shudder) which I am thankful they never have.
I generally hate the foreign remakes of both tv and films I am perfectly able to read the sub titles and enjoy the non Hollywood polish of the original which on the whole are far better and grittier. But I am open to new films all the time and who knows some may be better, but I would like to see more originality sometimes and less of a bandwagon for big Hollywood stars.
Although saying that I enjoyed the darker edge to the later Batman films despite being a big Tim Burton fan.