Has there ever been a good remake of an original film?

if american versions of foreign films count then id say The Departed and Let Me In (i think there also good because they introduce the films to a wider audience even if they are not good remakes people may take an intrest and watch the original version of the film) but other than the 2 films i mentioned i cant think of any other good remakes that are better than the original because most of the time they are unnessary remakes made to cash in on the original.