If you loved Gintama 2: Rules are Made to Be Broken, try From Today, It's My Turn!!: The Movie
A bridge between a film you've already seen and one most people haven't. From Today, It's My Turn!!: The Movie has roughly 3.4× fewer votes than Gintama 2: Rules are Made to Be Broken — it's a deeper cut, not a mainstream recommendation. Here's what they share, and what the second one does that the first one doesn't.

Gintama 2: Rules are Made to Be Broken

From Today, It's My Turn!!: The Movie
What they share
Both films are directed by Yuichi Fukuda, and they both carry the playful mood tag, and they sit in Action / Comedy territory. If that's the register that drew you to Gintama 2: Rules are Made to Be Broken, the second film will land in a comparable space — through a different lens.
What From Today, It's My Turn!!: The Movie is
A movie spun off from a TV series: how daring. High-schoolers Mitsuhashi and Ito must face down a whole new set of adversaries. It is almost comforting how little the stakes have changed.