Jennifer Aniston, Ellen DeGeneres, Carrie Underwood, Kenny Chesney, Rascal Flatts, Nickelback, Justin Timberlake, Eva Longoria and Patrick Dempsey were also favorites.
"If it wasn't for the people, I'd never win an award," Longoria said, laughing as she accepted her award for female television star.
The movies "Click" and "Cars" were also winners.
Depp, appearing by satellite from London, said he was humbled by the honor.
"I know that I've said this before. But the fact that this award comes from the people makes it all the more special," he said. "And thanks for keeping me employed, yeah? You're the boss."
The CBS-TV show from the Shrine Auditorium was hosted by Queen Latifah. Winners were picked by public Internet balloting. The Favorite New TV Comedy and Favorite New TV Drama categories were open for online voting through the first hour of the broadcast.
The list of favorites:
-- Female star: Jennifer Aniston
-- Male star: Johnny Depp
-- Leading lady: Cameron Diaz
-- Leading man: Vince Vaughn
-- Female action star: Halle Berry
-- Male action star: Johnny Depp
-- On-screen matchup: Johnny Depp & Keira Knightley
-- Movie: "Pirates of the Caribbean: Dead Man's Chest"
-- Movie drama: "Pirates of the Caribbean: Dead Man's Chest"
-- Movie comedy: "Click"
-- Family movie: "Cars"
-- Female singer: Carrie Underwood
-- Male singer: Kenny Chesney
-- Group: Nickelback
-- R&B song: "SexyBack" by Justin Timberlake
-- Hip-hop song: "Shake That" by Eminem
-- Pop song: "Hips Don't Lie" by Shakira
-- Country song: "Before He Cheats" by Carrie Underwood
-- Rock song: "Who Says You Can't Go Home" by Bon Jovi
-- Song from a movie: "Life is a Highway" by Rascal Flatts from "Cars"
-- Remake: "Life is a Highway" by Rascal Flatts
-- Comedy: "Two and a Half Men"
-- Animated comedy: "The Simpsons"
-- Drama: "Grey's Anatomy"
-- Competition/Reality show: "American Idol"
-- New Comedy: "The Class"
-- New Drama: "Heroes"
-- Female star: Eva Longoria
-- Male star: Patrick Dempsey
-- Talk show host: Ellen DeGeneres
-- Funny female star: Ellen DeGeneres
-- Funny male star: Robin Williams