Gaborik gave goalie Jonas Hiller a head fake, then a little shimmy before tucking the puck past him. That left it up to New York's Henrik Lundqvist, who stopped Bobby Ryan and then pumped his fist as the crowd roared in approval.
Ryan, who beat New York in a shootout last month in Stockholm, scored the tying goal late in the second period for Anaheim after Jeff Woywitka put New York up with his first Rangers goal, late in the first.
Gaborik assisted on that goal, but otherwise had nothing to show despite two excellent power-play scoring chances.
The Rangers have earned points in six of eight games (5-2-1).
SAN JOSE, Calif. (AP) - Ryane Clowe scored the lone goal in the shootout and Thomas Greiss stopped all three Pittsburgh shots as San Jose overcame a two-goal deficit in the third period to win its eighth straight home game over the Penguins.
After both teams failed to score in the first two rounds of the shootout, Clowe beat Marc-Andre Fleury with a forehand shot instead of going to his favorite backhand move.
Clowe got the comeback started with his fourth goal midway through the third and Jamie McGinn tied it with 4:54 remaining as the Sharks returned from a 5-1 road trip to earn a hard-fought win.
The Penguins earned their first point in San Jose since a tie in 1999 but they still haven't won in the Shark Tank since a 5-2 victory on Oct. 22, 1997.
Elias netted the winner on New Jersey's final attempt of the tiebreaker. Parise beat Sergei Bobrovsky on the stick side on the Devils' first try.
Rinaldo and Henrique each scored their first NHL goals.
DETROIT (AP) - Jarome Iginla scored twice on similar one-timers, and Calgary beat slumping Detroit.
The Red Wings have lost six straight (0-5-1) after winning their first five. They held Calgary to 22 shots but managed only Danny Cleary's second-period goal off a strange bounce.
Detroit has scored six goals in its last six games. The Red Wings were held under 31 shots for the first time this season.
Scrivens stopped 38 shots, including a few early that allowed the Maple Leafs to build a 4-0 lead despite playing their second game in two nights.
Phil Kessel, with 10 goals and 10 assists in the team's first 12 games, was limited to one assist.
Ryan Johansen, a rookie the Blue Jackets kept on the roster this week, scored his third.
The Maple Leafs scored four goals on 11 shots against goalie Steve Mason before he was pulled in the second period.
The Blue Jackets outshot Toronto 39-18 but were never in it.
SUNRISE, Fla. (AP) - Patrick Kane scored the only goal in a shootout, lifting Chicago over Florida.
Florida tied it 2-2 with 2:04 left in regulation when Jovanovski deflected a shot from Dmitry Kulikov and tipped it past Crawford.
Oduya gave the Jets an insurance goal with 3:56 left when he fired an in-close shot past goalie Rick DiPietro. Burmistrov added an empty-netter with 2:16 remaining.
DiPietro made 23 saves for the Islanders, who have lost six straight (0-4-2). New York went 0 for 3 on the power play and didn't give up a man advantage to Winnipeg.
ST. PAUL, Minn. (AP) - Matt Cullen had two goals and an assist for Minnesota, and the Wild let their sputtering offense loose by dominating Vancouver from start to finish with 45 shots.
After missing last season while recovering from two torn knee ligaments, Harding is 3-0-1 - with 98 saves over his last three games on 100 shots. He made 24 saves against the Canucks.
Defenseman Dan Hamhuis scored the game's first goal just 2:20 in for Vancouver.
LOS ANGELES (AP) - Nikolai Khabibulin outdueled Jonathan Quick in posting his second shutout of the season, and Lennart Petrell scored his first NHL goal as Edmonton beat Los Angeles for its y night for their sixth straight win.
Last season, the Oilers didn't earn their eighth victory until their 24th game. After a 4-4-10 start, Edmonton went on to finish last in the NHL (25-45-12) for the second straight season.
Khabibulin (6-0-2) lowered his NHL-leading GAA to 0.98 with his 45th career shutout. He faced 19 shots while blanking the Kings for the seventh time.
Quick, who came in with a second-best 1.52 GAA, made 24 saves.
Rinne received a big gift on his 29th birthday, signing a seven-year, $49 million contract. He celebrated by turning away everything the Coyotes threw at him for his third shutout of the season and 23rd in the NHL.
The Coyotes started off strong after beating Colorado 4-1 on Wednesday, but couldn't solve Rinne. Phoenix's five-game point streak was snapped (4-0-1).