Evening everyone, I was hoping someone could help me with this.
When I select my champion, and the time ticks over so that we are ready to load into the game, the client does not change into the 'game' if you can call it that, and it continues to stay on the Client and says 'Game is Still in process...' And on this menu I can't do anything but Quit. I have tried to repair the game via the setup but it still does the same problem. Any help would be nice, thanks.

Press me for Screenshot

Have you tried deleting the relevant files, and then repairing? A repair only checks that you have the existing files. Deleting them forces the game to redownload them.

Navigate to:
harddrive/Program Files/League of Legends/RADS/projects/...
delete the two folders 'lol_air_client' and 'lol_air_client_config_na'
Run the LoL Launcher, hit the cogwheel in the upper right hand corner.
Run a repair, let it finish, it'll download the deleted folders.
Run the game, test if you can launch and join a custom game, 1vnone.