Butrflied, tell us what you like? I hate it when friends and relatives come to Los Angeles and expect me to show them around, and they don't tell me what they really want to do.
What KB described sounds like "The Graveline Tours."
http://www.beverlyhillstourism.com/english/tours.htm
It may sound corny, but the most fun I ever had was on this tour. If you are interested in the beach, go to Venice Boardwalk like others metnioned. Also, jump on a boat in Marina del Rey and take a boat tour of the area. Jump on a helicopter and go to Catalina. Go to Watts and see the Watts Tower. If you don't take the Hollywood/Beverly Hills Graveline Tour, then get into a car and drive down Sunset Boulevard from Hollywood to the Beach. Have lunch in Malibu at one of the beachfront restaurants. Go to an outside concert like the Greek. Go to a Dodger or Lakers' game, or check out the Hollywood Racetrack. Go to a TV show and watch it live like Leno or any number of talk shows or game shows. Go to Tower Records on Sunset Boulevard. You always see celebrities there. Check out some of the jazz clubs. Want old Hollywood? Check out Musso Frank's restaurant, in Hollywood, and go to downtown LA and visit ex-mayor Riordan's Restaurant. (what's the name?--it is the oldest restaurant in LA and it never closes iits doors?) Visit Olvera Street for authentic Mexican Food and lots of atmosphere.
But if you could take an extra couple of days, you are a fool if you don't drive up the coast from LA to SF. San Francisco is where you should go. It makes Los Angeles look like a flatland ghetto, which it really is!
DA COAST, DA COAST...........DRIVE TO SAN FRANCISCO