St. Paul's use of the pagan poets to reach the Greeks at the Areopagus, was certainly to God's glory, and he would have been unable to use them had he not read them. Your point of films, television, and video games being a questionable use of time is very well taken. I enjoy films for their technical skill, actors' proficiency, and cinematography; in which case it is not dissimilar from appreciating a painting from an early master, standing in awe of a majestic cathedral, or listening to a beautiful piece of music. Beauty, no matter its author's intent (e.g. Wagner), elevates our hearts to the highest Beauty, which is our Lord. Even the vilest film is a great example of what God is not; but that pearl isn't worth wading hip-deep in filth to find.
It sounds to me like you're on the verge of burnout. I was in your position a couple years ago before I decided that I would leave Saturday and Sunday as days wherein I would not study. I found refreshing my palate watching films, playing games, or working in the garden, found me excited to open the scriptures first thing Monday.
Everyone is different, but please exercise caution; the Lord never intended the scriptures to be a burden; and, as David sang, at God's right hand are pleasures forevermore.