Coppola, joined on stage by her dad, said she appreciated "all the advice" her father gave her about screenwriting.
Accepting his acting trophy, Murray joked about the casual atmosphere of the Spirit Awards, which took in fashions ranging from Hawaiian shirts, jeans and cowboy boots to Vera Wang dresses: "For a lot of people in this room, this is gonna be as dressed up as they're gonna be this year."
Also winning an indie film honor was Charlize Theron, who took the best female lead prize for playing serial killer Aileen Wuornos in "Monster," which also earned the best first feature trophy for director Patty Jenkins.
Djimon Hounsou, who starred as a dying artist in "In America," was named Best Supporting Actor while Shohreh Aghdashloo was voted Best Supporting Actress on Saturday as the compassionate Iranian immigrant in "House of Sand and Fog."
The Spirit Awards honor independent films, financed at least partly outside the Hollywood studio system. The event takes place annually on the Saturday before the Oscars under a circus tent on the Santa Monica beach. Director John Waters was master of ceremonies and actor Tom Cruise served as honorary chairman.
Other winners included 16-year-old Nikki Reed, for Best Debut Performance in the teen drama "Thirteen." *