Ok, so here's your list of teams with most 1000-point scorers:
8
1991 Penguins - Coffey, Francis, Jagr, Lemieux, Mullen, Murphy, Recchi, Trottier
1992 Penguins - Coffey, Francis, Jagr, Lemieux, Mullen, Murphy, Recchi, Trottier
7
none
6
1989 Flames - Fleury, Gilmour, Nieuwendyk, MacInnis, McDonald, Mullen
1994 Penguins - Francis, Jagr, Lemieux, Mullen, Murphy, Trottier
1994 Rangers - Anderson*, Gartner*, Kovalev, Larmer, Leetch, Messier, Zubov
1996 Rangers - Kovalev, Kurri, Leetch, Messier, Robitaille, Verbeek
2000 Red Wings - Fedorov, Lidstrom, Murphy, Shanahan, Verbeek, Yzerman
2001 Red Wings - Fedorov, Lidstrom, Murphy, Shanahan, Verbeek, Yzerman
2002 Red Wings - Fedorov, Hull, Lidstrom, Robitaille, Shanahan, Yzerman
2003 Red Wings - Fedorov, Hull, Lidstrom, Robitaille, Shanahan, Yzerman
* Note - Anderson and Gartner were traded for each other at the TDL, so the team only had 6 of these guys at a given time.
5
1995 Blues
1987 Flames
1988 Flames
1990 Flames
1992 Kings
1993 Kings
1996 Maple Leafs
2004 Maple Leafs
1991 North Stars
1981 Oilers
1982 Oilers
1983 Oilers
1984 Oilers
1985 Oilers
1986 Oilers
1987 Oilers
1993 Penguins
1995 Penguins
1997 Penguins
1992 Rangers
1993 Rangers
1995 Rangers
1997 Rangers
1993 Red Wings
1994 Red Wings
1995 Red Wings
1996 Red Wings
1997 Red Wings
1998 Red Wings
1999 Red Wings
2004 Red Wings
1992 Sabres
Please note: I didn't look any earlier than 1970 because I'm pretty sure no team would qualify. Also, I didn't look for trades (like Anderson/Gartner) in the 5-player category, so that list is probably not perfect.