going to say, those are more like the five biggest games of 2013, not really five biggest rivalries.
I disagree. Those are the 5 biggest current rivalry games but are not the 5 biggest traditional rivalries.
LSU vs Ole Miss is a traditional rivalry as was LSU/Tulane but those games are meaningless now.
There is no current bigger rivalry in college football than Alabama vs LSU. It just doesn't get any more intense than when those two teams play each other and the fan bases for both schools know that.