The first Jurassic Park movie is all time one of the greatest films ever made with the special effects still holding up to this day. The 2nd film was still very enjoyable in my opinion but it was just a cookie cutter sequel not bad, not good. The 3rd film wasn’t great at all. But compared to the rest of the series the 3rd film is basically the godfather.
As another personal pick the 1st blade movie is a hood classic good. The other 2 not so much.
Franchises where the second film is more broadly acclaimed than the first: Star Wars, The Godfather, The Dark Knight, arguably Alien, Terminator, Star Trek, Paddington, Rocky, James Bond, The Pink Panther, Mad Max. Ones where the third film is the most acclaimed: arguably Indiana Jones, maybe Toy Story, LOTR (kind of all a merged movie so doesn’t count), The Good, the Bad and the Ugly, Star Wars prequels