Is it just on my computers or is there no install button for Warcraft or Warcraft 2 in GOG GALAXY? It never lists the games, either one.

did it available in your account on website? if not
http://gog.com/account/refresh

if yes it is Galaxy client issue. its tull of bugs, especially after 2.0 update released looong ago. older v.1.2 are more bug-proof. anyway try to reinstall. also sometimes Galaxy wont install updates automatically. you an try not reinstall but install uptodate setup onto pre-installed client. maybe such update would.fix the issue.

Having the same issue. Tried the "account refresh" button and it didn't work.

So I ended up doing a full GOG Galaxy 2.0 reinstall to resolve a different issue (changing my install path) and when it refreshed my list, the game was made available. I'd recommend trying a Galaxy reinstall.

when this happens to me sometimes exiting galaxy completely (close the task) or I manually install it & then it shows up in GOG next reboot.