I am a casual gamer at best, and stick almost entirely to RPG titles. I'm playing on an older Asus ROG laptop with the following specs:

Processor
Intel® Core™ i7 3610QM Processor, 8 cores @ 2.3ghz

Memory
DDR3 1600 MHz SDRAM, 12GB

Graphic
NVIDIA® GeForce® GTX 660M with 2GB GDDR5

DirectX 12

I haven't tried running anything more demanding than Mass Effect 2, which I can fly through with graphics set to ultimate. I also had no issues with Divinity Original Sin 2, and Pillars of Eternity 2, but they didn't seem too graphically demanding.

I'll swap you mine for your's but seriously your pc is fine and should sail through most games without any problems.

Depends on your utlimate goal. I have a friend who plays Apex Legends on the same specs as you. If you want the games to just be "playable" you should be fine. I wouldn't expect to hit the max settings with reasonable frames on most new RPGs though, depending on their style and systems (i.e. Witcher 3 or Kingdom Come).

Try out some F2P games, crank up the settings and see what happens. That should give you a good idea.

What's the native resolution of your laptop? Cpu and ram are very good, the gpu will be squishy on demanding titles unless you reduce setting accordingly.

I'd imagine you'd be fine here for almost the entire GOG catalog. Did you have any games in mind you wanted to ask about?

The biggest obstacle you have is the GPU. That prevents you from playing quite a many more graphics intensive games.

Probably not The Witcher 3. I'm not very tech-savvy, but to clueless me my setup seems somewhat comparable to yours (Intel Core i5-4430 @3.00 GHz, 8GB RAM, NVIDIA GeForce GTX 660, Win 8.1 64-bit). For what it's worth, mine is a desktop PC not a laptop (so maybe better cooling?). You have more RAM, but I think 8GB is enough for most games, and you have more cores, but lesser clock speed - not sure how to compare, but some games apparantly ignore multicore CPUs, so in that case I guess mine would be a little better, but those are probably games old enough for 2.3 GHz to be sufficient?

Anyway, games I can still run theoretically but would rather not since I notice more or less severe performance drops or hiccups include The Witcher 3 (2015, bad), Assassin's Creed: Syndicate (2015, okayish), Dying Light (2015/2016 okayish), Quantum Break (2016, goes from good to unplayable), DOOM (2016, not fun), Prey (2017, okayish), Divinity: Original Sin 2 (2017, I can run it, too, but it occasionally hiccups while loading areas with many characters in it, and I don't consider it fun to play this way), Shadow of the Tomb Raider (2018, okayish), Ghost of A Tale (2018, from okayish to not fun), The Awesome Adventures of Captain Spirit (Life Is Strange 2 demo, 2018, okayish), Subnautica (2018, bad at default settings).

Newer games that run without issues include Saints Row: Get Out of Hell, Metal Gear Solid V, Mad Max (all 2015), Rise of the Tomb Raider, The Witness, Abzû (all 2016), Slime Rancher, Hob, South Park: The Fractured But While, Yooka-Laylee, Life Is Strange: Before the Storm, Tacoma, Kona, What Remains of Edith Finch (all 2017), Subnautica (2018, fine at lower settings) ...

Anything pre-2015 should be guaranteed to run fine (well, except for Neverwinter Nights 2 maybe, which can cause issues even on the most powerful rigs due to its design; I think this one of the games that ignores multi-core CPU).

So that might be more or less the limit as to what you can expect, but as you see it also depends on the type of games, AAA vs. indies, and the games themselves, individually, and listing titles seems a bit random, but feel free to ask about specific games I might have tried.

That computer can smoothly run the entire GOG catalog, including TW3.
To just mention some limitation, you won't be able to swim while carrying your computer.

Nowadays, Nvidia laptop GPUs are comparable to their desktop versions, but that wasn't the case in the past. The 660M is quite a bit less capable than the desktop GTX660.
https://gpu.userbenchmark.com/Compare/Nvidia-GTX-660M-vs-Nvidia-GTX-660/m7749vs2162

Oh, ok. I missed the "M", thanks for pointing it out!

As was already said, it mostly depends on the resolution of your laptop. If it is FHD (1080p or 1920x1080), it might struggle in some games unless you compromise with the graphics quality. If it is anything less than FHD, you should be absolutely fine.

I have a similar laptop, but with a GTX 980m. It starts to show its age in Kingdom Come. I barely get above 45 fps with medium settings. Probably in a year or two I'll need to upgrade to something newer.

My shitty work laptop's response to those specs : "Pfftt, yeah whatever..."

That's pretty good system. For some reason the first thing I thought of installing with a system like that is Mount and Blade (which is rpg-like) or Kerbal Space Program.