The way I see it, Non ISA machines are usually fast. Pentium 4 or Athlon XP stuff.
So games that run well on these machines are mostly later DOS games, high resolution VESA modes, that sort of thing. The good news is that the sound drivers of these newer games are quite compatible with PCI sound cards.
Now there is the extreme case of someone wanting to play Wing Commander or Fate of Atlantis on a Pentium 4 with a PCI sound card, but for all the newer stuff like Doom, Descent or System Shock you will find PCI cards working really well.
What all these modern games have in common is the support for MIDI. So a cheap AudioPCI is a great fit. Vortex 2 you can use a wavetable board. Or go with a Yamaha if you are an OPL3 purist. Lots of options.
I see this is all the time that people focus on what doesn't work, but totally ignore that 90%, a TON, of cool DOS games will actually work just perfectly fine.