Icon Images Disappeared And When Click On Them They Come Up With Open With

when I try to open a program It happend when I was associating a blank icon, one like in the photo, with the game it used to be, which I had re-downloaded but the icon showed as if the game was no longer on the computer. When I done this, all of the icons on the screen and on the 'start' screen when you go into 'all programs' turned to the game icon. I then deleted the game and restarted the computer as 'last known good configuration' or something like that and after it took an unusually long time to start up (about seven minutes), all the icons showed up as in the ones shown on the screen shot above.