NEW films with Daniel Day-Lewis, Sandra Bullock, Kevin Costner, Pierce Brosnan, Ralph Fiennes, Robert Downey Jr., Adrien Brody and Sandra Bullock are among the record 87 world premieres that will unspool at this year’s star-filled Sundance Film Festival, which runs for 10 days in Park City, Utah starting Jan. 20.

The festival will open with Don Roos’ “Happy Endings,” a series of 10 intertwining stories about American families and featuring Lisa Kudrow, Maggie Gyllenhaal, Tom Arnold and Ray Liotta.

Day-Lewis stars in his wife Rebecca Miller’s “The Ballad of Jack and Rose,” an incest-themed drama with Catherine Keener, while Bullock plays a possessive mother in “Loverboy,” co-starring director Kevin Bacon and Matt Dillon.

Arie Posin’s “Chumbscrubber” is a suburban satire with Fiennes, Glenn Close, Carrie-Anne Moss – and Jamie Bell, who also appears in Danish director Thomas Vinterberg’s gun-control allegory “Dear Wendy” with Bill Pullman.

Robert Downey Jr. heads a cast that includes Michael Keaton, Griffin Dunne and Bebe Neuwirth in Michael Hoffman’s “Game 6,” about a playwright who skips his own opening night to watch the amazing game of the title in the 1986 Mets-Red Sox World Series.

Costner is a husband who disappears, throwing his family – played by Joan Allen, Erika Christensen and Evan Rachel Wood – into turmoil in Mike Binder’s “Upside of Anger,” while Brosnan is cast as a globetrotting hit man in Richard Shepard’s “The Matador.”

Brody portrays a military veteran who travels into the future – and witnesses his own death – in John Maybury’s “The Jacket.”

In “Heights,” five New Yorkers – including Close, Isabella Rosselli and George Segal – are challenged to choose their own destinies before the sun comes up the next morning.

“This year the festival is screening some of the most artistically innovative films and inspired filmmaking we have ever seen,” said the festival’s longtime director, Geoffrey Gilmore.