One of them that certainly was came in 2002 when Alabama came to town. The Sooners and Crimson Tide will meet for the first time since 2003 in the 2014 AllState Sugar Bowl.
The 2002 game featured one of the more dramatic endings to any game during Stoops' legendary tenure with the Sooners.
OU ran out to a 23-3 lead at halftime and the game also saw quarterback Jason White tear his ACL for the second time.
Alabama roared back in the second half to take a 27-23 lead with less than four minutes left in the fourth quarter.
And then it was time for Renaldo Works to take over. Works had two receptions on the final drive to set up OU at Bama's 8 yard line. Freshman running back Kejuan Jones scored on the next play to give OU a 30-27 lead.
But the drama wasn't over. With the Tide driving to either send the game to overtime to score the game-winner, freshman Eric Bassey returned a fumble 45 yards in the final 30 seconds for the victory.
OU and Alabama don't play often, but there is usually a lot of fireworks when they do.
"That is odd when you of all the great – I guess it goes back to all the bowl matchups and where you used to go is probably why," said Stoops earlier this month. But yeah, pretty unusual when you think of all the great teams each of them have had.
"In today's world they probably would have gotten together more often, you know, and the BCS, the way things are now, if they had it back then, they probably would have met up more often."
OU aftermath: After reaching the No. 1 ranking, the Sooners were upset on the road twice at Texas A&M and Oklahoma State. But after winning the Big 12 championship, the Sooners were able to dominate Washington State 34-14 in the Rose Bowl in OU's only trip to the Granddaddy of them all.