The Bengals have made two Super Bowl appearances, 1981 and 1988 seasons. They lost both.
1982 (Super Bowl XVI) They played the Cincinnati Bengals in Pontiac MI and won 26-21
Super Bowl XVI was played January 24, 1982. The San Francisco 49ers defeated the Cincinnati Bengals, 26-21.
The Cincinnati Bengals won their conference championships in 1981 against the Chargers, but lost in the Super Bowl game that year. The Bengals also won their championship in 1988, but again lost in the Super Bowl. They have not appeared in a conference championship game since 1988.
Despite appearances in Super Bowls XVI and XXIII (both times against the San Francisco 49ers), the Cincinnati Bengals have never won an NFL championship.
1998 they lost to the Bengals the score was Bengals 34 packers 25
1982 and 1989
They did not play in the Super Bowl that year. San Francisco beat Cincinnati 26-21 that year.
The 49ers have won two Super Bowls in Miami ... Super Bowl XXIII (January 22, 1989) over the Bengals and Super Bowl XXIX (January 29, 1995) over the Chargers.