The best rpg games like Dragon Age Inquisition are Dragon Age: Origins, Mass Effect 2 and Baldur's Gate 3. Below are 9, each with the reason it is here — and, at the end, what filtering to rpg costs you.
Filtering to RPG means you want progression — a character to build or a party to grow — layered on top of whatever else you liked.
What you get: A reason to keep going after the novelty wears off. RPGs are the genre that reliably converts hours into feeling more capable.
What made Dragon Age Inquisition worth playing in the first place is covered on the full list. This page is the rpg part of that answer, and only the rpg part.
The one people mean when they say Dragon Age — tactical, dark, and far tighter.
BioWare's best-structured game, and the companions are the point.
The modern high-water mark for this whole genre.
Same scale, vastly better side quests.
A mid-budget RPG with real faction reputation, in a setting nobody else uses.
If you want the tactical combat taken seriously again.
BioWare's shortest and strangest, and it has aged well.
First-person fantasy RPG built around factions and choice.
The follow-up, if the companions are what you are here for.
Immediacy. Almost every RPG asks for a slow first few hours, and the systems that make hour forty good are the same ones that make hour one a menu.
The full list is on games like Dragon Age Inquisition — 9 picks, no genre filter.
Dragon Age: Origins. The one people mean when they say Dragon Age — tactical, dark, and far tighter.
No. Dragon Age Inquisition released on the PC & Modern Multi-Platform, 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 stats are the point. In an RPG the build decides what you can do; in an action game with stats the build only decides how fast you do it.
No. The picks below span turn-based, real-time and action RPGs, and each one says which it is.
By hand. Each pick was written for the full Dragon Age Inquisition list first, on what the game actually does, and this page is the part of that list that is rpg — 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 rpg guide for where to start in the genre generally.