I cannot say anything about game compatibility, as I still play games on XP (and OpenSuse Linux if it's supported).
Windows 7 64bit is a very stable OS and a look in GoG.com's catalogue shows that is more compatible with games than 8.
Since I have an installation of Windows 8 upgraded to 8.1, I have to admit that as an OS is as stable as 7. If you can accept the always on DRM of using your live account, windows 8 and 8.1 have some interesting features. I don't like to have an always DRM though, so I use an offline account.
Metro interface is inconvenient as it could be and it's 8's greatest fault. If Microsoft bring back the familiar start button and leave Metro as an additional choice, everything will be much better.
Windows 9 are going to be announced soon. So you can just pass 8 and upgrade from 7 to 9 at a later time.