AFC: Jets NFC: Vikings
No. They played and lost AFC conference championship games in 1996 and 1999.
Vikings have been to 7 Championship games in their conference; Won 3 lost 4, however, these games were after the 1970 AFL-NFL merger. Before then, the Vikings have won NFL titles before they had to play teams in the other conference.
The Steelers lost seven AFC championship games in their history.
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.
As of the 2008 season, three times: 1996 - Lost conference championship game to the Packers. 2003 - Lost Super Bowl XXXVIII to the Patriots. 2005 - Lost conference championshup game to the Seahawks.
Yes, the Steelers defeated the New York Jets in the Divisional playoffs. They then lost the Conference championship to the New England Patriots.
Chicago bears From 1933, when the first NFL championship game was played, to 2008, when Super Bowl XLII was played, the team that has lost the most NFL championship games is the New York Giants who have lost 11 NFL championship games (pre Super Bowl) and 1 Super Bowl for a total of 12.