The only truly negative thing I have to say about "22 Jump Street" is that Chris Miller and Phil Lord are setting themselves up to eventually become a media punching bag. That's the inevitable ending when someone's on a winning streak, and right now, Miller and Lord are looking like the guys you call when you have a terrible idea but want to make a great film anyway. That's an amazing skill set, and I find myself deeply impressed by each new thing they release.
What made "21 Jump Street" so much fun was that it was completely self-aware. The movie openly made fun of what a terrible idea it is to turn old TV shows into new movies, and it also managed to run some very smart and fun riffs on high school movies and buddy cop films, constantly subverting expectations in a way that I think added up to something that felt very fresh.