St. Louis has 109 points, one fewer than Boston for the top spot in the NHL.
Miller, who earned his 29th career shutout, made a skate save against Vincent Lecavalier and a glove save on Claude Giroux in the shootout.
One of Miller's best saves came with 1:30 to go in overtime when he stretched out and denied Jakub Voracek's bid to slide the puck under his pads.
Emery earned his 16th career shutout and second this season.
Oshie, who scored on a backhand, is 9 for 12 in the shootout. Giroux is 5 for 10.
Both teams killed penalties in the final five minutes of regulation, with a high-sticking call to Giroux stretching into the first 36 seconds of overtime for Philadelphia. St. Louis penalty killers have allowed three goals on 36 chances the past 12 home games.
The Flyers played in St. Louis for the first time since the 2010-11 opener.
Miller foiled two breakaways in the opening minutes, one created when defensemen Alex Pietrangelo and Shattenkirk collided. He made an outstanding left pad save on Michael Raffl to thwart a 2-on-1 break early in the second period.
Two Blues hit the goalpost in the second period, Jaden Schwartz in the opening minute and Pietrangelo in the final minute.
Notes: Flyers D Kimmo Timonen did not make the trip after taking a puck to the chin. Alex Gustafsson played for the first time since Feb. 27. ... The Blues tricked a fan between the second and third periods who was blindfolded at center ice and then shot several yards wide of the net, telling him he'd won $15,000. The fan did a celebratory belly flop on the ice before being told he'd been duped. ... The Blues' last 0-0 regulation game was March 22, 2012, at Los Angeles, a 1-0 shootout loss. ... The Flyers have been shut out four times.
