I had lunch here today as a preview before possibly bringing E. for his beloved huevos rancheros (thank you @Aesthete for the recommendation). I think Taqueria Los Anaya will fit the bill nicely.
Potato and Manchengo Taquitos
Crispy, not greasy, nice mashed potato filling, with very good guacamole on the side.
This was very good. The default is without chicken (you can add chicken for $1.75), which made me happy. This was a dense chili-intensive soup, not clear broth like most. It's mild, not spicy, maybe guajillo? The tortilla strips were very thin and crunchy, then softened to thicken the soup a bit more. I liked it a lot, it was different.
( Note to Destroyer and other places that charge $10+ for soup, invest in some good spoons.)
Taco al Pastor
We ordered one of these for future reference and because it's one of those things one judges taquerias by, yah? We liked it and plan to come back and try more tacos. Good thick corn tortilla and flavorful, well-cooked meat.
Meat was a bit dry, but not devastatingly so. Excellent sauce.
Pescado Vera Cruz
Nicely cooked, very crisp skin, smoky grill flavor on the fish, and the sauce was a beautiful balance of peppers, onions, tomatoes, olives, just everything. I'd kind of given up on this dish in Los Angeles, but Anaya gets it right.
Regarding side dishes and sauces, the beans are boring and rice is an afterthought, but we liked the thick corn tortillas and the sauces are excellent.
I didn't take photos of the interior, but it is very nice; old school mission-style. With dark, varnished wood tables, old photos of caballeros and bright serapes lining the walls, it's cool and inviting. The service is friendly and efficient.
I'll update after we visit for breakfast, which is soon, I hope.
Taqueria Los Anaya
4651 West Adams Blvd, Los Angeles, 90016