Pulp? Never Heard Of Them ...

Other remakes that are better than the original:

I Fought The Law - The Clash



But ...



Train In Vain - Dwight Yoakam

Also:
Hallelujah - Rufus, Not Buckley
Hurt - Johnny Cash
Anything sung by Carole King
Three's Company
West Side Story (Broadway better than Shakespeare, but movie not as good as Broadway. [I'm assuming.])
Donald Trump Jr.
The Departed (Just kidding! Scorsese sucks.)

What did I miss?