The SEC has what it calls "video box scores" on its digital network site. They allow you to view individual plays from games with no filler. I had no idea they existed until today, but they have been around since at least 2010. The link here goes to Week 2 by default because that's the current, but you can access them by going to the main SEC Digital Network site and clicking the "Game Day Central" link at the top.
Why hasn't this been one of the most widely used and talked about resources on the college football web? I could have used this umpteen times over the span that they've existed.
Addendum: There's no central place to find old ones from past years, but this Google search finds links to some of them.