Matt Monroe sings From Russia With Love
Anthony Newley co-wrote the theme music for Goldfinger. Here he is singing it. It's a much more low-key effort than Shirley Basseys, and doesn't have the three note horns at the beginning, but I actually quite like it.
Johnny Cash submitted a song to the producers of Thunderball, but they elected not to use it.
Blondie submitted For Your Eyes Only, but eventually SHeena Eeston sang a different theme song.
The Living Daylights, by a-ha
The same music as the movie, but with a different mix. John Barry and a-ha "did not collaborate well." Barry's mix was used in the movie.
Ace of Base demo for Goldeneye
A Pleasant Drive in St. Petersburg, from Goldeneye. The tank chase, replaced in the film, but available on the soundtrack.