Windows 8 Game Compatibility

I've only just realized that in the system requirements of a lot of games I bought for my new PC it doesn't mention Windows 8. Does this mean that I won't be able to run the games if I have Windows 8? I have just moved to gaming on the PC so I don't really know that much about it. Thanks

What games specifically are you wanting to play? because have Windows 8 and i actually have problems with some games but others work fine

I bought a few games that include natural selection, trine 2, the witcher 2 , and dishonored. I bought other newer games but I don't think these will cause an issue. I'm not really into a lot of really really old games so I think it should help with compatibility I guess.