Intel (couple of older laptops.) Well, it's Intel. Not flashy but it works. There is no proprietary driver - all FOSS.
Nvidia (an old desktop and one I recently fixed up with Linux mint 18.2.) I continue to run the proprietary driver on the old desktop (GTX 650) because I had trouble earlier with Nouveau and Cinnamon desktop. Now it appears that recent kernel upgrades fixed that and Nouveau worked fine on the machine (GT520) I set up for my 90 year old Linux client. I left it that way. I still like the proprietary driver best though.
AMD (old Trinity APU laptop and my Linux main driver (R7 360 discrete card.)) I had lots of problems with the discrete card but that is now in the rear view mirror. I don't have any option for the proprietary driver but FOSS has always worked great - if it worked at all. Even though I am an AMD fanboi I have trouble recommending a new Linux user try AMD. I am still on the older radeon driver because my hardware is now quite obsolete by graphics standards.
What would I recommend these days?. Intel baby unless you are gaming or need heavy 3D support. Then Nvidia I guess - even though I hate ripping out the FOSS driver stack. I will reserve judgement on the latest AMD RX lineup - although older cards now work OK.
Edited by raymac46, 20 September 2017 - 08:07 AM.