CLARENCE S. CAMPBELL BOWL
Winner of the Campbell Conference Championship
1978, 1979, 1981

PRINCE OF WALES TROPHY
Winner of the Wales Conference Championship
1982, 1983, 1984

HART MEMORIAL TROPHY
"To the player adjudged to be the most valuable to his team"
Bryan Trottier - 1979

JAMES NORRIS MEMORIAL TROPHY
"To the defenseman who demonstrates the greatest all-around ability in the position"
Denis Potvin - 1976, 1978, 1979

FRANK J. SELKE TROPHY
"To the forward who best excels in the defensive aspects of the game."
Michael Peca - 2002

CALDER MEMORIAL TROPHY
"To the player selected as the most proficient in his first year of competition in the National Hockey League"
Denis Potvin - 1974
Bryan Trottier - 1976
Mike Bossy - 1978
Bryan Berard - 1997

ART ROSS TROPHY
"To the player who leads the league in scoring points at the end of the regular season"
Bryan Trottier - 1979

VEZINA TROPHY
"To the goalkeeper adjudged to be the best at his position" as voted by the general managers of each of the 26 clubs
Bill Smith - 1982

CONN SMYTHE TROPHY
An annual award "to the most valuable player in the playoffs"
Bryan Trottier - 1980
Butch Goring - 1981
Mike Bossy - 1982
Bill Smith - 1983

BILL MASTERTON TROPHY
"To the player who best exemplifies the qualities of perseverance, sportsmanship and dedication to hockey"
Ed Westfall - 1977
Mark Fitzpatrick - 1992

LADY BYNG MEMORIAL TROPHY
"To the player adjudged to have exhibited the best type of sportsmanship and gentlemanly conduct combined with a high standard of playing ability"
Mike Bossy - 1983, 1984, 1986
Pierre Turgeon - 1993

WILLIAM M. JENNINGS TROPHY
"To the goalkeeper(s) having played a minimum of 25 games for the team with the fewest goals scored against it"
Bill Smith, Roland Melanson - 1983

JACK ADAMS TROPHY
"To the NHL coach adjudged to have contributed the most to his team's success"
Al Arbour - 1979

KING CLANCY MEMORIAL TROPHY
"To the player who best exemplifies leadership qualities on an off the ice and has made a noteworthy humanitarian contribution in his community"
Bryan Trottier - 1989
Doug Weight - 2011

NHL ALL-ROOKIE TEAM
(Instituted after 1982-83 Season)
David Volek - 1989
Vladimir Malakhov - 1993
Bryan Berard - 1997
Trent Hunter - 2004
Michael Grabner - 2011

NHL HALL OF FAME MEMBERS
Bill Torrey - Builder Category 1995
Al Arbour - Builder Category 1996
Denis Potvin - Player Category 1991
Mike Bossy - Player Category - 1991
Bill Smith - Player Category - 1993
Bryan Trottier - Player Category - 1997
Clark Gillies - Player Category - 2002
Pat LaFontaine - Player Category - 2003

BOB NYSTROM AWARD
"To the Islander who best exemplifies leadership, hustle and dedication"
1991 - Brent Sutter
1992 - Ray Ferraro
1993 - Benoit Hogue
1994 - Steve Thomas
1996 - Dan Plante
1997 - Claude Lapointe
1998 - Rich Pilon
1999 - Claude Lapointe
2000 - Claude Lapointe
2001 - Dave Scatchard
2002 - Steve Webb
2003 - Jason Blake, Garth Snow
2004 - Adrian Aucoin
2006 - Kevin Colley
2007 - Trent Hunter
2008 - Richard Park
2009 - Tim Jackman
2010 - Kyle Okposo
2011 - Frans Nielsen
2012 - Matt Martin

FIRST ALL-STAR TEAM
1975 - Denis Potvin
1976 - Denis Potvin
1978 - Denis Potvin, Bryan Trottier, Clark Gillies
1979 - Denis Potvin, Bryan Trottier, Clark Gillies
1981 - Denis Potvin, Mike Bossy
1982 - Mike Bossy, Bill Smith
1983 - Mike Bossy
1984 - Mike Bossy
1986 - Mike Bossy

SECOND ALL-STAR TEAM
1976 - Glenn Resch
1977 - Denis Potvin
1978 - Mike Bossy
1979 - Mike Bossy, Glenn Resch
1982 - Bryan Trottier, John Tonelli
1983 - Roland Melanson
1984 - Denis Potvin, Bryan Trottier, John Tonelli
1985 - Mike Bossy, John Tonelli