just upgrade your HDD to a bigger capacity one
mine right now is using 250gb, with tonnes of movies and shows in there, XBMC FTW!
you also can backup your game to the HDD and load directly from HDD, which is faster
But I'm using my old Xbox mainly for watching movies, which X360 still is no match for it.

if you're not sure of how to upgrade/repair your xbox, just bring it to Bernard of Gamer's solution, he change my burned mod chip for me on the spot