Oi...read my post again, I said things that aren't based on other source material, wiping out Spider-man, Bourne, LOTR, and Dark Knight.Lord of the Rings: Return of the King.
Toy Story 2.
Godfather part 2.
Star Trek 2, the Wrath of Kahn (not to mention the most recent Star Trek).
The Bourne Supremacy.
T2: Judgement Day.
Batman: Dark Night.
Sorry, but there are an awful lot of great sequels out there. I consider all of these better than the first in their series.
Sure Godfather 2 was great, but the franchise kept going, and Godfather 3 was terrible, as was T3 and TS.
I wouldn't call any of the original Star Trek movies great. The new one was good, but I would hesitate to call that a sequel.
I already talked about Toy Story, but I'll give you T2. But still, look at your list. That 8 out of the COUNTLESS sequels that have been made in Hollywood.