I feel you missed the opportunity to laud Robocop 2 as the superior film.

On sequels I feel live up to the original:

The Rescuers Down Under is (vastly) better than the original
T2 and Aliens are both better than their predecessors
Riddick is roughly as good as Pitch Black
Die Hard 3 is roughly as good as Die Hard
Vampire Hunter D : Bloodlust is generally superior to the original
Empire is roughly as good as New Hope
Last Crusade is roughly on par with Raiders
Friday the 13th 2 is superior to the original
Hellraiser:Inferno is roughly on par with the original, though many don't agree with me there.
Beverly Hills Cop 2 is about as good as the original
Dawn of the Dead is as good / better than Night (especially when it comes to the remakes)
Bride of Frankenstein is better than Frankenstein
Home Alone 2 is roughly as good as the original
The Road Warrior is superior to Mad Max
The Good, The Bad, and the Ugly is superior to Fistful of Dollars
Inferno is . . . almost as good as Susperia
The Golden Voyage of Sinbad is comparable to The 7th Voyage of Sinbad