I had a studio in this neighborhood for 3 years. Just take your camera and spend a couple hours walking around admiring the colors and people and odd shops.
There is absolutely no reason to go to this museum, which is the very reason why you should go! If you're stuck on run-of-the-mill, socially-relevant, highly-educational museum experiences, then Chuck E. Cheese would be more enlightening, but if your idea of a good afternoon is sifting through hand-made treasures at an alzheimer patients rummage sale, then I've got your spot! It's very small, dimly lit, and not many of the displays actually function, but it does encapsulate a very distinct, random, getting-away-with-it spirit, which courses through the finest of Los Angelenos.
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.
Leo's is an institution. I thought there was only one truck on Venice and La Brea but turns out they have eight across LA. Watching them slice pork and pineapple in one fell swoop is both drool-inducing and an art form. Open til 3am most nights I think.