1920x1080 is not available for me since my native res is 2560x1440. This is really not good as I always stream my games in fullscreen 1920x1080. Trying to enter those values manually the games just changes it to 1680x1050.
Only way I could manage to get it into Full HD, was to switch desktop to 1920x1080, go into game and set resolution to the same as windowed, then back out into desktop and switch it back to 2560x1440. What a mess...
I'm using nvidia's latest drivers on GTX 780 Ti with Windows 8.1
Solved it on my end! Not sure this will help in your case, but here goes...
Check the game's aspect ratio. My system defaulted to 4:3. When I set it to 16:9, 1920x1080 popped right up in the list.