Right by my apartment, I can't help but come here often. It's situated right around the historic La Brea Tar Pits. One needs to spend an entire day here. Also love their magazine/book store.
Malibu's Point Dume Beach has got to be my favorite all time beach. Its a great place to get away from the city and leave your troubles behind. The beach mostly is a private, but you will definitely find beautiful seals and surfers.
One of my favorite things to do on weekends is to head to Grand Central Market for brunch, grab a few glasses of wine at the Oyster bar and then roam around downtown collecting pigeons.
Over the past few years the market has been modernized and has become a really trendy spot, but it still retains aspects of what it was like decades ago.
Some of my favorite stands are The Oyster Gourmet, Sarita's Pupuseria and the Belcampo Meat Co.