Mmh... When was there a Hollywood remake that actually could compare to the original? True Lies, I guess (remake of La Totale), but this is the only one I can think about.
One to avoid at all costs is City of Angels, the remake of the AMAZING, BRILLIANT, GREAT Wings of Desire. The poetry and subtlety of the original got drowned into some "ER goes mystical" trip. Plus Nicholas Cage is good only to play dimwits (I can't think of any movie but Raising Arizona in which I questioned his acting capability), and Meg Ryan... Well, 'nuff said.