I'm considering purchasing a new laptop and been looking at one with an AMD Razor processor. I currently have just about all the Star Trek Classics installed on my Windows 11 Intel Processor Laptop and have had minimal issues. I've heard mixed things about compatibility and stability with AMD processors running GOG games. Wanted to see what thoughts the community has on this topic. Thanks in advance!

Here is what I have currently:
Star Trek Armada
Star Trek Armada 2
Star Trek Elite Force
Star Trek Elite Force 2
Star Trek Away Team
Star Trek Bridge Commander
Star Trek Hidden Evil
Star Trek Star Fleet Command 3

while I can't speak for most Star Trek games(aside from elite forces 1 and 2) all the games I have got on gog that I have played ..has been without issue aside from when a update on amd drivers seeming to be the cause for abit causing an issue before a new update fixs things..But even then I'd advise AMD over Intel as AMD from my experience, and hearing from others usually is better for gaming for varies reasons..

Also I'd say most games you listed won't have any issues on Amd or intel but I could be wrong

You're mostly talking about games which are over 10 years old. As to the matter, AMD whips Intel on price & performance, easily.

Either one is good, but my personal choice would be AMD. Never any issues with AMD processors for gaming/GOG games. I've been using them since the late 90's (K6-2 400 - Ryzen 7).

Played nearly all of those games over the years from original releases to GOG releases on Duron, Athlon, XP+, FX & Ryzen Chips with no issues.

The only problems you may have running these games now with GOG releases is what version of windows you are using. Win 11 may have some initial problems being the latest O/S that will be fixed over time. This is a common with newer O/S and is not related to what hardware you are using.

AMD wins hands down, performance vs price, is more stable , less problems, and you're pretty safe if and when you decide to move to Linux. That's just the CPU side.

The APU's that's on Ryzen laptops has actually much much better gaming capability than than anything intel has for the fraction of the price.

I've got laptops with both Ryzen 3 and Ryzen 5 and I have no problems with games (I usually run modified Win7 and 10 so can't say anything about 11), unless I try to run a game that's way over it's capability of course. As an example, I got the same Ryzen 3 2300u and it even runs Witcher 3. Albeit with terrible fps, but still: https://www.youtube.com/watch?v=M4UBbpO7g7w

Really depends on your budget and what you want to use it for whether you should go for 3, 5, or 7.

AMD usually has better price/performance, compatibility and stability (avoid Intel 13th and 14th gen). You can get away with something older and inexpensive like an R5 5500U if you can still find those. Some are equipped with an RJ-45 connector (wired internet) which is missing on newer laptops. Just make sure it has dual channel RAM or the ability to upgrade to dual channel, for maximum performance.

I agree with every thing on your post, except the quote above if you are mentioning the graphic capability. Intel have a surprising performance on many chips, depending on the configuration (TDP, cooler and RAM). Let's not mention OpenGL.
Regarding the price, yeah, Intel laptops tend to be more expensive, recently saw 2 diferent brands (HP and Lenovo) selling laptops powered by a 5700u below 400€ without OS. Yes, at the cost of increased idle/light load battery consumption. good advice and valid for both AMD and Intel!

AMD CPU & GPU. QED.

I currently have an AMD laptop, and it's had far better compatibility than when I had an Intel.
I don't have any of the games you listed though.

Out of curiosity, I just tried 2 games wich were always a pain to run on older AMD cards (HD7850 and RX480 and Kaveri iGPU) on a laptop powered by the Ryzen 5 4500u and Win10.

Populous 3 - on older AMD cards the water texture flickers, on the newer Vega integrated card it works fine out of the box.

King's Bounty the Legend - On older cards the water texture flickers and very low performance for what's expected, also a lot of stuttering. On newer 4500u iGPU the flicker is gone but the performance was not great.
Have to get some free time to test under Linux and wine to see if the low performance persists.

Both games run fine on Intel HD and UHD graphics. KB the Legend runs at smooth 60fps locked on a Intel i3-7100u (1080p but not max settings) but hardly gets over 30 on the Ryzen 4500u even at 720p.

Can't recall any other game with a major issue with AMD parts.

I keep wishing Intel would be, once again, competitive on technical merit. I see so many laptops using Inter CPUs, but I don't think they do so because they are better.

I think both companies have some problems to work out. But, based on what you intend to do, both companies can deliver. Just don't go with the bleeding edge. And the non-latest models are so much cheaper!

Still, my last Intel computer was an Eee PC! (I looked it up, the first model came out in 2007!)

Been my experience, intel works with bugs and amd works or doesnt. I rather intel sometimes, because, some bugs can allow a work around. Opposed to flatly not functioning at all.

I found AMD to be better. They seem to show a more conscious effort to appeal to both they're gaming and non-gaming conglomerate, offering programs for CPU and overall machine performance as well as statistics. Plus like some others have said it really gives you some bang for your buck when buying budget rigs with its reliability.