Most of the GOTD games [really all of the ones I've ever set up] aren't really installed -- they're uncompressed or unpacked to your hard drive. That means that if the hardware's compatible using win10 drivers, they'll still work. If you upgrade to 10 then saved games should also work -- if you install fresh you'd have to try moving or copying any saved game files in the user folder, & if it wasn't one of a handful that saved game info in the registry, you'd be good to go.
*Usually* the User folder is saved in the Windows.old folder after you upgrade to 10, so you might not even have to make a copy or mount a backup etc. to get those files. The old registry should be there too, but mounting parts of the registry from another copy of Windows can get involved, so I'll just say that if that interested anyone, they'll find lots of directions using Google or Bing.
Here's what I mean when I say "if the hardware's compatible using win10 drivers"... Graphics hardware relies on special driver software written just for that hardware. While the hardware's current, those drivers normally enable all of the functions that hardware is capable of. Once that hardware is no longer current, manufacturers can skip stuff, if they write new drivers at all. About all you can do is find out what graphics hardware you have, & search with Google &/or Bing to see what others with the same hardware report, or give it a try & see for yourself.
Now unfortunately with the GOTD apps it's a different story. Few if any of the apps will work after a fresh install, & some may not be registered or activated after upgrading to Windows 10. It depends on if their activation uses some sort of ID to identify the device where it was originally installed, & if that ID changed upgrading to 10. If it did change, then it depends on if the software phones home for activation, & if the developer still allows it to be activated.