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.
Home State is known for their Texas-style breakfast Tacos. Next door to it there's a wine bar called Bar Covell, which lets you bring your tacos from next door and eat them while you have a glass of wine. Don't order more than two breakfast tacos if you don't want leave there with your pants unbuttoned.