So... if you're saying that Nolan's Batman movies are better to Burton's, does this include the music too? I just have a hard time imagining Zimmer & Newton-Howard's stale two-note Batman theme being better than Elfman's iconic Batman theme.
Anyway, here are some of my picks for remakes that are arguably better than the earlier version(s):
The Man Who Knew Too Much (1956 version)
Ben-Hur (1959 version)
The Thing (1982 version)
The Fly (1986 version)
Lolita (1996 version)
The Quiet American (2002 version)