The Flames made the score 2-0 3:16 later when Shean Donovan scored unassisted at even strength.
The Rangers went up by 3-1 with only 19.4 seconds left in the second period when Messier scored unassisted while the Rangers were short-handed.
Dave Barr scored unassisted on a long slap shot from the right wing that Glenn Healy, the New York goalie, stopped only partly.
Hrudey was working on his first shutout of the season when Tonelli scored unassisted from the top of the left circle at 16 minutes 6 seconds of the final period.
He scored unassisted on a power play at 7:33 of the third period to break a 4-4 tie, extending his point-scoring streak to 13 games.
In the second period, Turgeon broke free from the pack and scored unassisted from the right circle to give the Islanders a 3-0 lead at 16:19.
Carolina's Jeff O'Neill scored unassisted at 9:36 of the third period to give the Hurricanes a 1-0 lead.
After Linden's goals, which tied a club record for most short-handed goals in one period, held by Butch Goring, Czerkawski scored unassisted at 14:31.
Bourque scored unassisted 23 seconds later, and Broten and Gilhen each tallied to move New York's lead to a whopping 5-1.
The most memorable moment of this game was the tying goal, a beauty by Jaromir Jagr, who scored unassisted after skating up ice from his own blue line.