The best platformer games like Ratchet and Clank are Ratchet and Clank: Rift Apart, Jak and Daxter and Sunset Overdrive. Below are 8, each with the reason it is here — and, at the end, what filtering to platformer costs you.
Filtering to platformer means you want the movement itself to be the pleasure. It is the right filter when the thing you liked was getting from one place to another.
What you get: A game you can judge in ten seconds. Platformers live or die on the jump, and a good one feels right before anything else happens.
What made Ratchet and Clank worth playing in the first place is covered on the full list. This page is the platformer part of that answer, and only the platformer part.
The best-looking and best-feeling entry, and the weapons are the star.
The other PS2 mascot series, and Jak II adds the guns.
Insomniac again, with the same weapon design philosophy.
The current best 3D platformer, and full of one-off gadgets.
The third of the PS2 trio, if you want stealth instead of guns.
Powers as a toolkit in a platformer, with better writing.
For the same cartoon-with-weapons combination.
A straightforward modern mascot platformer if you want more of the shape.
Weight. Platformers rarely carry a story you will think about afterwards, and the collectible-led ones can become checklists if you let them.
Specifically, these are strong answers for Ratchet and Clank that are not platformer games, so they are not on this page:
The full list is on games like Ratchet and Clank — 9 picks, no genre filter.
Ratchet and Clank: Rift Apart. The best-looking and best-feeling entry, and the weapons are the star.
No. Ratchet and Clank released on the PlayStation 2, 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.
Whether the move set is complete early. The great ones give you everything in the first level and spend the rest asking better questions of it; the weak ones drip-feed abilities to disguise thin level design.
Different games. 2D platformers are about precision on a single screen; 3D ones are about reading space and camera. Each pick below says which it is.
By hand. Each pick was written for the full Ratchet and Clank list first, on what the game actually does, and this page is the part of that list that is platformer — 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 platformer guide for where to start in the genre generally.