Robert Griffin now has a signature victory to go with all those records he is setting at Baylor.
Griffin threw for 479 yards and four touchdowns, including the game-winner with 8 seconds left, as the 25th-ranked Bears created even more chaos in the national championship race with a stunning 45-38 victory over fifth-ranked Oklahoma on Saturday night.
''We've been waiting for it, preparing for it, and it finally came to pass,'' Griffin said. ''We don't consider it an upset. It's good for our team to come out and show the resiliency we have and keep pushing forward.''
Baylor (7-3, 4-3 Big 12) had been 0-20 against the Sooners, and most of the games hadn't even been close.
This time, Oklahoma (8-2, 5-2) left without a victory - and no longer in the national title hunt.
The Sooners will have to settle for trying to win another Big 12 championship, which could get them into a BCS game - though not the one to determine the biggest prize.
''It's always stunning to lose games,'' Oklahoma quarterback Landry Jones said. ''It's never fun.''
The loss by the Sooners came a night after Big 12 rival and No. 2 Oklahoma State suffered its first loss, and right after No. 4 Oregon became a two-loss team.
It was the highest-ranked team Baylor defeated since winning 20-13 at third-ranked Southern California in 1985.
''They said we needed that signature win,'' Griffin said. ''We got it.''
The Sooners had overcome a two-touchdown deficit to tie the game on Blake Bell's fourth touchdown run, a 6-yarder with 51 seconds left.
''We fought back. I never questioned our players' want-to and fight,'' Oklahoma coach Bob Stoops said. ''But in the end they made a few more big plays than we did and that was the difference in the game.''
The Bears then went 80 yards in five plays, with Griffin scrambling for runs of 22 and 8 yards before then finding Williams in the back corner of the end zone and throwing before he got knocked down.
''One of the offensive linemen came and told me we just won the game,'' Griffin said. ''It was a pretty exciting moment.''
After Bell's last touchdown, the Sooners were going to try a go-ahead 2-point conversion. They settled for the tying extra point after a false start penalty, then were hoping to stop Baylor and get the ball back one more time.
They never did.
When the game ended, students and fans - most in gold T-shirts - stormed the field to surround Griffin and the Bears.
Oklahoma had scored two quick touchdowns after halftime to take a 24-17 lead, then Baylor got a fortunate bounce to get even again.
Griffin's pass over the middle deflected off the hands, then the helmet of intended receiver Tevin Reese. The ball went about 20 yards farther down field, and was grabbed out of the air near midfield by Kendall Wright, who sprinted to an 87-yard touchdown.
Griffin dropped to a knee, then looked down before thrusting his arms into the air. The quarterback was shaking his head, seemingly in disbelief.
That is how Stoops and the Sooners felt after the game.
Griffin completed 21 of 34 passes while setting single-game school records for passing yards and his 551 total yards. Wright's 208 yards receiving was also a school record, on eight catches.
''Another day at the office for Robert,'' Baylor coach Art Briles said. ''Very talented, very gifted.''
Williams, who had earlier dropped what would have been a touchdown, had five catches for 99 yards. Terrance Ganaway ran for two scores.
Jones completed 36 of 51 passes for 447 yards with an interception. He gave way close to Bell, the freshman short-yardage specialist who had TD runs of 3, 1, 4 and 6 yards.
Even in their first game without injured record-setting receiver Ryan Broyles, Oklahoma finished with 605 total yards. That was 15 fewer than Baylor.
After Trey Millard's 5-yard TD run on Oklahoma's first possession of the second half, Baylor faced fourth-and-1 at its own 33. Griffin took the snap and was stood up in the backfield by David King.
Jones then threw a 31-yard pass to set up Bell's 1-yard keeper that put the Sooners up 24-17 less than 4 minutes into the second half.
When Baylor got the ball back, Williams was behind a defender inside the 10 when he reached up and got his hand on the ball. He looked as if he had pulled it in as he got close to the end zone, but the ball suddenly fell to the ground and the Bears punted.
The fortunate bounce came on the next drive, then the Bears went up 31-24 when Griffin hit wide-open tight end Jordan Najvar for a 13-yard TD. That came a play after Williams made a diving 23-yard catch while being grabbed by a defender to convert fourth-and-11.
Ganaway's 11-yard run early in the fourth quarter made it 38-24 before Bell's last two TDs.
Baylor led 17-10 at halftime after a 69-yard TD catch-and-run by Reese, who got wide open several yards behind the Oklahoma secondary. He caught Griffin's pass in stride near the 30 and sprinted to the end zone on the first play after the Sooners had tied the game.
That was Baylor's second quick-strike score in a row, with a long touchdown drive by the Sooners between those.