Irving, the Cleveland Cavaliers point guard, finished with 31 points and a game-high 14 assists en route to being named MVP.
Anthony, a New York Knicks forward, added 30 points while making 8 of 13 three-pointers. Miami forward LeBron James, an East all-star, and former Cavalier Mark Price held the previous record of six made three-pointers.
Los Angeles Clippers power forward Griffin and Oklahoma City Thunder forward Kevin Durant finished with 38 points apiece.
Griffin's 19 field goals on 23 attempts shattered Wilt Chamberlain's record of 17 that was set back in 1962.
The East got back in the game with an 18-3 run at the end of the third quarter to close the gap to 126-123.
The West also scored the most points by one team in a half (89), while combining with the Eastern Conference team for the most points in a half (165).
Two guys with local ties who didn't play Sunday, Kobe Bryant and Michael Carter-Williams, expressed their desire to play in a future NBA All-Star Game.
Bryant, a future Hall of Famer with the Los Angeles Lakers, was selected to the All-Star Game for the 16th time. The Lower Merion High School product was unable to play due to a lateral tibial plateau fracture in his left knee suffered on Dec. 17. Houston shooting guard James Harden replaced Bryant in the Western Conference's starting lineup.
Meanwhile, getting selected would be a first for Carter-Williams, the 76ers' impressive rookie point guard.
He used the weekend to sit back and observe.
Carter-Williams had a glow about him while participating in the Rising Stars game and the Skills Challenge, and also performing community service projects for NBA Cares.
"I'm having a great time," Carter-Williams said. "Just being here is a blessing. I've said that before, and I'm having a good time. That's all I can really say."
Carter-Williams finished with 17 points, 9 assists, 6 rebounds, and a blocked shot Friday in the Rising Stars game, which showcases the game's top rookies and second-year players. Then he and Orlando Magic rookie Victor Oladipo teamed up to finish second in the skills competition on Saturday.
While Carter-Williams is having an impressive rookie season, Bryant has basically been a spectator.
The 35-year-old shooting guard played in only six games after returning from a ruptured Achilles tendon before he injured his knee.
He's hoping to return this season for the struggling Lakers.
He admitted to being concerned that his body is starting to give out. Bryant suffered his Achilles injury in April.
"That's part of the excitement of the challenge, that level of uncertainty. It's this sort of thing: Are my best days behind me?" he said.
". . . And to have those conversations with yourself and not be intimidated by that and not be succumbing to that is part of the challenge."