Tampa had vinny, msl, khabby and Richards at their absolute best in the 04 playoffs. It was a pretty good team even if they weren't a top 3 cup favorite.
Carolina also had a good teaam, and they added weight and recchi at the deadline. In their case, they got really lucky in terms of the opposition suffering key injuries. They came back on Montreal after Williams knocked koivu out by sticking him in the eye. They got past buffalo in 7 games because they iced an ahl defense due to injuries. Then Edmonton lost their starting goalie in the finals, but it still took 7 games to knock them out.
The amount of stars that aligned for Carolina will be very difficult to duplicate. Its just too much to expect to go your way in one run. They were incredibly fortunate.