OpenGL games should run fine, some old games that used static sized buffers to hold extensions (like all Quake/Quake2 games that dump the available extension string to the console and the console having a hardcoded buffer for each line) will crash it because of how long the extension string is nowadays, but most drivers have an option to limit the string size (AFAIK Nvidia and AMD drivers check the executable name and do it automatically for known faulty games).

For Direct3D games you must use a 32bit color mode otherwise Windows 8.x/10 will force software rendering which is very slow. Even better, use dgVoodoo2 which is a reimplementation of DirectX 1 to 7 (with a some bits of 8) in Direct3D 11 and provides much better compatibility (also gets rid of the Direct3D 7 2048 surface width limitation, making it possible to play games at 2560x1440 and up).

For Glide, dgVoodoo2 is also very good and you can "cheat" the game to force higher resolutions than what the game thinks it is running at.

I have a lot of old games and everything that isn't DRM encumbered works fine in Windows 10 using dgVoodoo2 and/or some game-specific hacks (Tomb Raider 1 for example is normally a DOS game that you can play using a Glide-enabled build of DOSBox but there was also a Windows version made that used an ancient proprietary 3D API by ATI - someone reimplemented that API and placed extra hacks in there for high resolutions and widescreen support).