i would add to the list the burger at The Hungry Cat, at Sunset/Vine For a short rib sandwich, Joan's on 3rd is drippingly good, and you can also find some great cupcakes for dessert.
If you're around for Sunday brunch, try the pot roast hash at Jar. Or just go there for dinner and have the amazing pot roast from which it came from. I'm a short rib junkie so I'll have to swing by Joan's.
I just discovered the Arts District Downtown. Tons of graffiti and just a overall weird place. It's pretty awesome.