Tampa Bay also got goals from Steven Stamkos, Vincent Lecavalier, Nate Thompson, Teddy Purcell, Ryan Malone and Benoit Pouliot. Stamkos and Lecavalier both added two assists.
The Lightning, 6-1-0 this season, have scored five or more goals in four consecutive games.
Tobias Enstrom, Paul Postma and Andrew Ladd scored third-period goals for Winnipeg, which has lost three in a row. The Jets were coming off a 6-3 loss at Florida on Thursday night in which the Panthers scored five third-period goals.
Conacher, Stamkos and Lecavalier all had first-period man-advantage goals as the Lightning, who started play with the NHL's fifth-best power play, grabbed a 3-0 lead. Winnipeg entered with the league's worst penalty-kill unit.
Stamkos has five goals and 14 points during a season-opening seven-game point streak.
RED WINGS 5, BLUES 3
DETROIT (AP) — Henrik Zetterberg scored three goals and his second assist of the game set up Pavel Datsyuk's tiebreaking goal at 9:38 of third period, lifting Detroit over St. Louis.
The Blues' four-game winning streak was snapped.
Zetterberg scored the first two goals and set up Jonathan Ericsson's tying goal early in the third period. Detroit's captain missed practice on Thursday because he wasn't feeling well.
Detroit's Jimmy Howard made 23 saves for his 114th victory, tying Dominik Hasek for seventh place on the team's career list.
The rebuilding Red Wings had lost their season opener 6-0 at St. Louis.
HURRICANES 1, SENATORS 0
RALEIGH, N.C. (AP) — Dan Ellis made 33 saves for his first shutout in more than two years and Eric Staal scored as Carolina improved to 9-0-1 in its last 10 home games against Otttawa.
Ellis, making only his second start of the season in place of Cam Ward, earned his 13th career shutout and first since Nov. 9, 2010, against Toronto while he was with Tampa Bay.
Carolina (3-3-0) improved to 9-0-1 in its last 10 home games against the Senators.
Ottawa came in with a 5-1-1 record but struggled to generate many scoring chances. Jason Spezza underwent surgery on a herniated disc in his back and could be sidelined for up to two months.
Craig Anderson made 34 saves for Ottawa.
CAPITALS 3, FLYERS 2
WASHINGTON (AP) — Troy Brouwer and Wojtek Wolksi scored third-period goals, and Braden Holtby made 29 saves in Washington's victory over Philadelphia.
Niklas Backstrom had a goal and an assist to help Washington (2-5-1) end a two-game skid.
Bruno Gervais and Brayden Schenn scored for the Flyers (2-6), who have lost three in a row.
Brouwer's third goal of the season at 3:57 of the third snapped a tie and put the Capitals ahead for good. He took a pass in the left circle from Mike Green and wristed a shot over goalie Ilya Bryzgalov's shoulder.
Bryzgalov stopped 23 shot for the Flyers.
STARS 4, COYOTES 3, SO
DALLAS (AP) — Jaromir Jagr and Jamie Benn scored in a shootout to lift Dallas to a victory over Phoenix.
After netting four goals in the opener against Phoenix, the Stars had scored only nine times in the next six games before breaking out.
Antoine Roussel scored in his NHL debut, rookie defenceman Brenden Dillon had his first career goal, and Michael Ryder also scored as Dallas snapped a four-game losing streak (0-3-1).
Phoenix trailed 2-0 and 3-2 before getting even in the third period. Radim Vrbata had the only goal for the Coyotes (2-4-2) in the shootout.
Martin Hanzal scored twice in the second period after missing two games because of a lower-body injury, Vrbata added a goal and an assist, and Oliver Ekman-Larsson had two assists for Phoenix.
DUCKS 3, WILD 1
ANAHEIM, Calif. (AP) — Kyle Palmieri scored two goals on his 22nd birthday, breaking a tie early in the third period of Anaheim's victory over Minnesota.
Bobby Ryan had a power-play goal and two assists, and linemate Teemu Selanne had three assists in the Ducks' fourth win in six games to start the season.
Viktor Fasth made 26 saves in his second career victory for Anaheim, which dominated long stretches of play, yet couldn't get comfortable until Ryan's goal with 1:34 to play.
Niklas Backstrom stopped 28 shots for the Wild, who are winless in three road games this season. Marco Scandella scored Minnesota's only goal in the first period.
Palmieri produced his second multigoal performance in his 34th career NHL game.
CANUCKS 2, BLACKHAWKS 1, SO
VANCOUVER, British Columbia (AP) — Jordan Schroeder scored in a shootout to lift Vancouver over Chicago.
Schroeder, who hasn't scored a traditional goal in the regular season, fired a low, hard shot that squeaked through the pads of goalie Corey Crawford.
Alex Edler scored in regulation for the Canucks (4-2-2).
Patrick Kane had the lone goal for the Blackhawks, who lost their second straight in a shootout after starting the season with six victories.
The Canucks had a 40-second, 5-on-3 power play in the third period, but didn't register a shot on goal.