The LA Opera at the Dorothy Chandler Pavilion on Grand Street in downtown LA is a must during the fall and holiday season when they have a solid lineup of opera and ballet. Very inspiring. 

Yes- I'm going to anger some people by sharing this hidden gem with you. It is very special and I expect hate mail.  They have been serving Japanese comfort food since the late 60's and is the last gasp of a neighborhood in Boyle Heights that was once predominantly Japanese. No frills. Just a warm and loving environment- a place to escape and eat spicy tuna rice bowls and sip miso with your Japanese Grandmother. Shhh, don't tell anyone. 

I go shopping there for veggies and bread but always leave the store with a little more than that.

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.

Authentic Korean BBQ in Koreatown. Delicious meats and big variety of mushrooms, interestingly good fried rice, metal chopsticks, and a buzzer you can press to alert the waiter.