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.
One of my favorite local record stores. They stock over 15,000-20,000 LP’s and 12" singles and have a great selection. I usually stick to the left side of the shop where soul, disco, and international records are.
This is the place you want to go to have a awesome brunch. Be prepared for a waiting line outside on the weekends. The place is packed then. My personal favorites is the Polenta with Maple syrup, bacon, spinach and chicken apple sausage. If you had a rough night before I would suggest the "Hangover Helper", with the bottomless fresh mint-lemonade. Always does the trick.
You have to cross this bridge when you're driving to downtown from East LA. It gives you an amazing view on the River, old industrial buildings and the high rises of downtown Los Angeles. Remember that famous scene from Grease? This is the place. I'm still trying to figure out how to get my car in here.