The best action games like Infamous are Sunset Overdrive, Prototype and Marvel's Spider-Man. Below are 9, each with the reason it is here — and, at the end, what filtering to action costs you.
Filtering to action means you want the fighting to carry the game rather than the story or the map. It is the right filter when what you actually miss is how something felt in your hands.
What you get: Combat you get better at. Action games put their design budget into the moment-to-moment, so the thing you are doing in minute two is the thing you are still doing in hour twenty, only better.
What made Infamous worth playing in the first place is covered on the full list. This page is the action part of that answer, and only the action part.
Traversal as the whole combat system — grinding and bouncing is how you fight, not how you travel.
The other open-world superpower game of that era, meaner and more chaotic.
The best traversal in any open-world game, with the same rooftop rhythm.
Agility orbs turned climbing a city into the actual progression loop.
Superpowers grafted onto an open city, played entirely for comedy.
Movement built on falling in any direction you choose — strange and hard to put down.
For the grapple-and-glide loop and a city that feels built for it.
The direct successor if you simply want more of it with better powers.
Grapple and wingsuit traversal at absurd scale.
Pacing and world. Action games rarely have the quiet stretches or the writing that the adventure and RPG picks bring, and a few of them are shorter than they look.
The full list is on games like Infamous — 9 picks, no genre filter.
Sunset Overdrive. Traversal as the whole combat system — grinding and bouncing is how you fight, not how you travel.
No. Infamous released on the PlayStation 3, but a recommendation is only useful if you can play it, so the picks above span platforms and eras. What they share is the genre and the reason.
A small set of verbs and a game that keeps finding new questions to ask of them. The weak ones add buttons instead; the strong ones make you better at the ones you already have.
No, and difficulty is a poor proxy for depth. Some of the hardest action games have very few decisions in them, and some of the deepest have a difficulty setting that lets you meet them halfway.
By hand. Each pick was written for the full Infamous list first, on what the game actually does, and this page is the part of that list that is action — never a genre tag lookup, which is how "best racing games like Super Mario 64" used to be a page on this site.
Or read the action guide for where to start in the genre generally.