Brief overview:

This particular hybrid genre is quite rare to find and very enjoyable for me. I think it can largely be credited to Ratchet & Clank for trendsetting and inspiring all the rest (even Jak 2 had used some of Ratchet's code after Jak and Daxter [1]: The Precursor Legacy didnt have any weapons). There are some older games that might have inspired Ratchet & Clank, such as Blasto, which will also be listed here. But mostly I'm focusing on games that replicate a similar style as the Ratchet and Jak series, sometimes on purpose. Please let me know if you have any additions to the list.

The List (main):

▪︎ Ratchet & Clank (series) ▪︎ Jak and Daxter (series) ▪︎ Protodroid DeLTA ▪︎ Akimbot and Pumpkin Jack (same dev as each other) ▪︎ Tamarin ▪︎ Automaton Lung (& sequel Automaton Heart demo) ▪︎ GearGrit (and the devs' other game Fadeout kind of) ▪︎ Cloudbuilt ▪︎ Onirism ▪︎ Metal Arms : Glitch in the System ▪︎ Ruff Trigger : The Vanocore Conspiracy ▪︎ Donald Duck PK (AKA PK : Out of the Shadows) ▪︎ SpongeBob SquarePants: Plankton's Robotic Revenge (yes, this is really a 3rd person shooter) ▪︎ Oddworld: Stranger’s Wrath ▪︎ Shadow the Hedgehog ▪︎ Spy vs Spy ▪︎ Blasto

I've heard recommended but can't verify if they fit the bill or not:

▪︎ Jet Force Gemini ▪︎ Stitch: Experiment 626 ▪︎ Smarties: Meltdown ▪︎ Insecticide ▪︎ Dr. Muto ▪︎ Destroy All Humans! (series) ▪︎ Robots ▪︎ One ▪︎ MDK (series) ▪︎ Earthworm Jim 3D ▪︎ Buzz Lightyear of Star Command ▪︎ Blinx : The Time Sweeper ▪︎ Cryght ▪︎ Mega Man Legends ▪︎ Fur Fighters

Similar gameplay elements either continuously or occasionally:

▪︎ Sly Cooper (series) ▪︎ Ty the Tasmanian Tiger (series) ▪︎ Rayman (the 3D games) ▪︎ Skylar & Plux ▪︎ Spyro the Dragon (series) ▪︎ Super Mario (series) ▪︎ Crash Bandicoot (series) ▪︎ Astro Bot (series) ▪︎ *Psychonauts (series) ▪︎ Futurama ▪︎ Family Guy Video Game! ▪︎ Jumping Flash ▪︎ The Gunk ▪︎ Splatoon (series) ▪︎ Sunset Overdrive ▪︎ Returnal ▪︎ ReCore ▪︎ Lost Planet (series)