Stafford, returning from a shoulder injury that limited his 2010 season to three games, completed 6-of-7 passes for 71 yards while playing two series.
The other Detroit touchdowns came on a 7-yard run by Shaun Hill in the second period and a 28-yard throw from Zac Robinson to Nate Hughes in the fourth.
Second-round draft pick Andy Dalton -- who led TCU to an unbeaten season last season and a Rose Bowl victory over Wisconsin -- made his debut for the Bengals and went 11-of-15 for 69 yards with an interception.
Ray Liotta sues skin care company over use of likeness
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