In 1998, Miami beat the Broncos in reg. season, Broncos won the Superbowl
In 1999 Miami beat the Titans in reg. season, Titans went to superbowl
In 2000, Miami beat the Ravens in reg. season, Ravens won Superbowl
In 2001 Miami beat the Patriots in Bradys first start. Patriots Won superbowl
In 2002 Miami beat the Raiders in the reg. season. Raiders went to the superbowl.
I believe that's where it ended. From 1998 to 2002 Miami beat the AFC representative for the Super Bowl in the regular season.