The playing and modding SWBF is a very low requirement. They're old and not very GPU intensive. I would imagine pretty much any integrated or dedicated GPU from the past few years to do both with flying colours. The requirement of running the other games sets your bar a bit higher.
Intel's recent integrated GPUs can probably do it but go back too far and they definitely won't be able to, at least not while giving a reasonable frame rate in some of them. I'm defining reasonable here as "stays steady at somewhere above 30FPS". So you'll preferably want to get a laptop with a mid-high level dedicated GPU.
Keep an eye out on what memory type the GPU has, if it's DDR3 it's possibly a low-level one and you should keep looking. If it's GDDR5 it may be worth investigating further.
As a starting point nvidia say's the GTX 760M from a few years back can play Skyrim at 1080p/30+FPS at Med/High settings. If that sounds acceptable it could serve as a starting point for your search.
Obviously once you've found a laptop in your price range that seems to fit your requirements I would suggest doing some research to see if you can find benchmarks for it playing one of the games you like.
Intel's recent integrated GPUs can probably do it but go back too far and they definitely won't be able to, at least not while giving a reasonable frame rate in some of them. I'm defining reasonable here as "stays steady at somewhere above 30FPS". So you'll preferably want to get a laptop with a mid-high level dedicated GPU.
Keep an eye out on what memory type the GPU has, if it's DDR3 it's possibly a low-level one and you should keep looking. If it's GDDR5 it may be worth investigating further.
As a starting point nvidia say's the GTX 760M from a few years back can play Skyrim at 1080p/30+FPS at Med/High settings. If that sounds acceptable it could serve as a starting point for your search.
Obviously once you've found a laptop in your price range that seems to fit your requirements I would suggest doing some research to see if you can find benchmarks for it playing one of the games you like.