Miller rushed for 161 yards, a record for an Ohio State quarterback, and threw for two scores and 207 yards.
Meyer, who won two national titles at Florida, is unbeaten in 11 season openers. He had worked as a TV analyst a year ago after stepping down from the Gators job due to health and family considerations.
He was hired last November to revive the beleaguered Buckeyes.
Beleagured hardly begins to describe the situation at Pennsylvania State, which is starting afresh after the death of coaching icon Joe Paterno and the sexual abuse scandal.
Bill O'Brien, who was hired to lead the Nittany Lions in a new direction, saw his team build an 11-point lead over Ohio, but quarterback Tyler Tettleton accounted for three second-half touchdowns by the visitors, who won 24-14.
University of Southern California made a winning start, beating Hawaii 49-10. Marqise Lee caught a 75-yard touchdown pass on the first play from scrimmage and returned a kickoff 100 yards for a score.
Alabama's retooled defense showed it could still dominate as the Crimson Tide began its season with a 41-14 win over Michigan. A.J. McCarron threw two touchdown passes.
Louisiana State had an easy 41-14 victory over North Texas, with Kenny Hilliard rushing for 141 yards and two touchdowns.
Oklahoma was a 24-7 winner of University of Texas El Paso, with Landry Jones throwing two touchdown passes and Damien Williams running 65 yards for another score in the fourth quarter.
Oregon quarterback Marcus Mariota made an impressive first start, passing for 200 yards and three touchdowns as the Ducks beat Arkansas State 57-34.
Georgia beat Buffalo 45-23, with freshman Todd Gurley running for three touchdowns and Aaron Murray passing for three more as the Bulldogs overcame a sloppy first half.
Florida State trio Lonnie Pryor, James Wilder Jr., and Debrale Smiley combined for seven rushing touchdowns to lead the Seminoles over Murray State 69-3.
Arkansas defeated Jacksonville State 49-24, with quarterback Tyler Wilson setting the school record for yards passing in a season opener. He finished 19 of 27 passing for 367 yards and three touchdowns.