Stinking Rose? Lowrys? Wouldn't be my choices. You can get prime rib most anywhere in the US. While in LA, get stuff that you can't find elsewhere.
Depends on where you're staying. If you're in Venice or Santa Monica, then you can walk the beach and see plenty of interesting things. I'm not a fish taco fan, but plenty of them around (Wahoo's, which is a small local chain is ok). If you're on the westside, I'd suggest hitting the dim sum at The Palace on Wilshire Bl Sunday morning on the way out of town. If you like sushi, I'm a fan of Sugarfish (locations in Marina del Rey and Santa Monica). And if you're in Santa Monica on Sat night, you can listen to a jazz trio for free at 212 Pier