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.
The Cincinnati Bengals' first season as a member of the American Football League was 1968. Their record was 3-11 that year.
1998 they lost to the Bengals the score was Bengals 34 packers 25
1982 and 1989
Sanfracisco 49ers won Super Bowl 16 vs the Bengals and it was the 49ers first Super Bowl victory 26-21and the player of the game the one and only Joe Montana and passed 14 for 22,157 yards, 1 yard rushing and, 1 passing yard TD.
January 22 , 1989 they lost Superbowl 23 to the 49ers 20 to 16.
Yes they will someday maybe the only reason they did not is because twice they threw a bad pass and the 49ers won