Is it just me or is it virtually impossible to get to a game from a "Highlights" tile? Every time I try to click on a game that catches my attention, it either scrolls to the previous or next tile, sometimes scrolling twice and skipping a tile.

It works fine here. BTW, the timer to switch to the next slide should stop when you move the mousepointer over it so what you are describing above should never happen.

That it does happen means that either you have a very old browser that does not handle current Javascript versions correctly or you have an addon installed that messes with Javascript.

What browser are you using and which version?

It works fine for me too. Just to add, only the middle tile takes you to the product page, clicking on the other two will scroll back or ahead accordingly.

I guess, it's just you.
I never encountered a behavior like you describe it on my PC.
Are you using a mobile?

It happens to me occasionally. Usually, reloading the site works, but sometimes I just have to wait a bit and it fixes itself.

Might be a browser issue. Clear GOg related cookies, or browser history. But usually it gets fixed automatically after some time, as Karl_the_Pain has noticed.

Vivaldi 7.3 - latest version, but I'm also getting it on the latest version of Safari as well

Try with the latest Firefox, Chrome or Edge with default settings and without any addons.