I have only not shaken hands with an opposing team once in my life and that was because my coaches had bad blood with the other schools coaches, not to mention they were the dirtiest team we played. Safe to say we hated each other.
Regarding FSU not shaking hands, they were obviously upset about they way they played but that's no excuse for disrespecting an opponent. I didn't hear Oregon talk a bunch or smack pregame and I don't think they did during during the game to my knowledge.
I get they were upset but you have to swallow your pride and admit you played bad and they were the better team that day.
Jameis has enough class as a football player to know to respect an opponent enough to shake hands even in defeat.