Shane Corson.
In 1986, played only 3 regular seasons and none in the playoff so did not meet the criteria, considering Lemieux-Richer got to play it is not like it was impossible for a 19 years old to make the team, he did the regular season and 17 playoff games the year right after.
Was traded in the summer of 1992, was not on the 1993 cup winner.
2004 Dallas, first year they stopped to be a powerhouse, couple of time on the Leafs reaching those conference finals before that.
Also missed the Olympic gold in 1998.
Paul Kariya is one I had to make sure and look up before starting writing.
The Ducks loose in 2003, left the franchise before the lock-out, they are a strong contender and win it in 2007.
2004 Avs could-should have won did not work
Nashville 06-07 really strong teams that won 100 games and the kind you think could do it in the playoff, Trotz, Timonen-Hamhuis-Markov young Suter-Weber at some point, Vokoun, a little bit of Forsberg magic with some previous winner veteran presence like an Arnott... Could imagine believing in it.