Burke, in his second start since returning from sitting out two weeks with a broken finger, stopped 29 shots in regulation and overtime, then rejected two of three shots by the Thrashers in the shootout.
Atlanta's Ilya Kovalchuk forced overtime by scoring his 50th goal of the season with just 4.3 seconds remaining in overtime. He also had as assist on Slava Kozlov's power-play goal in the second period.
Ryan Craig and Martin St. Louis scored for Tampa Bay.
Wild 2, Oilers 1, SO
At St. Paul, Minnesota, Brian Rolston beat old teammate Dwayne Roloson with a stick-side wrist shot to lift Minnesota.
Edmonton's Sergei Samsonov and Minnesota's Mikko Koivu each scored on their team's first shootout chance, but Ales Hemsky and Marian Gaborik were denied.
Ryan Smyth, who got the Oilers' goal in regulation, lost control of the puck on his try and was stopped by the Wild's Manny Fernandez -- setting up Rolston's opportunity to win.
That capped a night of superb goaltending by Roloson and Fernandez, who shared the job in Minnesota for four seasons until Roloson was traded to Edmonton last month. Fernandez made 32 saves, and Roloson had 26.
Stephane Veilleux had the regulation goal for Minnesota.
Stars 5, Mighty Ducks 3
At Anaheim, California, Antti Miettinen and Jussi Jokinen scored power-play goals less than 1 1/2 minutes apart to lead Dallas over Anaheim for the Pacific Division title.
The victory could have come with a huge loss for Dallas, which lost leading-scorer Mike Modano with an apparent knee injury in the second period.
Niko Kapanen had two goals, one into an empty net. Niclas Hagman had a short-handed goal for the Stars, who lead second-place Anaheim by 13 points with six games remaining.
The victory was the Stars' 50th, one shy of the franchise record set in 1998-1999 when they won their only Stanley Cup.
Sharks 5, Kings 0
At Los Angeles, Jonathan Cheechoo had two goals and an assist as San Jose moved one step closer to securing a playoff spot with a victory over Los Angeles.
Sharks goalie Vesa Toskala made just 14 saves to earn his second shutout of the season. Scott Thornton, Joe Thornton and Steve Bernier scored third-period goals for San Jose as the Sharks moved into a seventh-place tie with Edmonton.
San Jose has a two-point lead over ninth-place Vancouver and a four-point edge over the Kings in tenth.
The Sharks have now won five straight against the Kings and lead the season series 6-1. The teams will meet in the final game of the season in San Jose.
■ Frozen Four
Whether he's rolling on the ice or flying over it, Ross Carlson is dangerous as long as he's near the puck.
Carlson scored an acrobatic goal and his diving attempt at a second earned him an assist in Wisconsin's 5-2 victory over Maine on Thursday night in the NCAA Frozen Four semifinals.
Robbie Earl had two goals and an assist, and Adam Burish and Ben Street also scored for the Badgers (29-10-3), who will play Boston College on Saturday night for the national championship. The Eagles beat North Dakota 6-5 in the first semifinal.
After stealing the puck from Maine's Michel Leveille, Carlson skated down the left side and left his feet to avoid Bret Tyler, the last Maine defender. Carlson maintained control despite his momentum as he landed and fired the shot at Ben Bishop, the 6-foot-7 goalie for the Black Bears.