As of the 2008 season, that was Super Bowl XXIII against the San Francisco 49ers played January 22, 1989. The Bengals lost 20-16.
In 1989, the Cincinnati Bengals made it to the Super Bowl (Super Bowl XXIII). They lost to the San Francisco 49ers. The 49ers scored a touchdown with 34 seconds left in the game. The Bengals couldn't score in time leaving them a painful loss. They also played the 49ers in Super Bowl XVI (1982) and lost.
The New York Giants are in the National Football Conference and the Cincinnati Bengals are in the American Football Conference. The only time they could meet in the postseason is in the Super Bowl, and they have never played each other for the NFL title.
The last daytime kickoff for a Super Bowl was on January 12, 1975, for Super Bowl IX. Since then, all subsequent Super Bowls have started in the late afternoon or evening.
They have never played in a super bowl.
The last time the Philadelphia Eagles were in a Superbowl was in 2004. Eagles v.s. Patriots, Patriots won 24 to 21.
The last time the Dallas Cowboys made to the Super Bowl was 1995 Super Bowl XXX. The played the Pittsburgh Steelers and won. This was the 5th Dallas Super Bowl win and 8th trip to the big game.
1999.
The Detriot Lions have never been to the Super bowl.
As of the 2010 NFL season, they have not won a Super Bowl since 1994 (Super Bowl XXIX).
Arizona has never won a super bowl, they are 0-1 in super bowls.
The Atlanta Falcons have never won a Super Bowl. In their only Super Bowl appearance in 1999, they lost to the Denver Broncos, 34-19.
The last time, prior to winning Super Bowl XLII, that the Giants won the Super Bowl was Super Bowl XXV (1990 season).