I've read that Oblivion's GOTY requires disc 2 to be in the drive to load up any of the DLC content - the second disc will initiate a download of everything but if you have the first disc in, only the base game will be available. This may be a problem unique to Oblivion, though, and it's super obnoxious if you have a digital copy for convenience.
Not the first place I've read it, but one source.
I believe this is true if you're talking strictly about BC on the One. For the 360, all those bethesda games and the 2k complete editions (bioshocks come to mind) all worked with the GoD version and the ultimate edition DLCs.
Edit: This thread has a nice summary of the games that work like that - https://www.cheapass...d-now-wikified/