Update 3:
Catching up on some meals from before our lockdown. Since Broken Spanish is doing Takeout with some of these dishes, figured it might be helpful for some thoughts and pics. 
Queso Fundido (Bacalao, Quesillo, Roasted Tomato):
Chef-Owner Ray Garcia and his team have created a nice version of Queso Fundido, using Bacalao (Salted Dried Cod) along with the usual piping hot, oozy melting Cheese. The result is fantastic, especially when we paired some of it with an order of their Organic Heirloom Corn Tortillas: 
These Handmade Heirloom Corn Tortillas are some of the best in the city! Thickish, soft, pliable, with great, deep Corn flavor (compared to the usual mass-produced versions). 
Frijoles (Heirloom Pinquito Beans, Cherry Tomatoes, Guajillo):
Flavorful, toothsome, earthy, the Heirloom Pinquito Beans have more body and structure than many of the usual Pinto or Black Bean preparations locally. This also went well with a bit of the Handmade Heirloom Corn Tortillas (especially dipped in that Guajillo Sauce).
Borrego (Lamb Shoulder, Carrot Puree, Chimichurri, Feat Cheese):
Slow Roasted Lamb that was fork tender, it was meaty and delectable. This Borrego had a stronger infusion of flavor than the usual Barbacoa de Borrego dishes, and the Carrot Puree was a nice complement to each bite, the sweetness balancing out the strong savory gaminess.
Chicharron (Garlic Mojo, Radish Sprout, Picked Herbs):
As incredible as the first time we ordered it! It had been way too long, and reports from @PorkyBelly @robert and others reminded us that it was time to try it again. 
The outer skin is still as crispy as before, and it gives way to a luscious, decadent interior of fatty and lean Pork. It is outstanding! 
Grilled Nopales Salad:
Their Grilled Nopales (Cactus) Salad was a nice foil for the lush Chicharron, slightly piquant, tender morsels of Nopales with a punch of Queso Fresco.
Another Visit:
Chile Relleno (Poblano, Potato, Kale, Lemon, Soubise):
This is definitely a more refined / alta cocina version of a “Chile Relleno,” with the Poblano deep fried and then stuffed with a smooth Potato puree(!), with a hit of citrus Lemon flavors, and sauteed Kale. The whole thing is covered in an ultra silky Soubise Sauce. This is one case where, as refined as it was (and we appreciated how much lighter and not greasy it was), we were craving a more comfort food version. 
Heirloom Corn Tortillas + Whipped Carnitas Fat:
We have never ordered the version of their amazing Tortillas with Whipped Carnitas Fat, but figured we should try it at least once. The consistency is definitely that of Butter, but when you take a bite, there’s a heavy fat taste that covers your mouth.
It’s not bad at all, but not as amazing as we were hoping it would be (like having liquid Bacon Fat or something).
I think we’ll stick with the Refried Lentils version or just the Heirloom Corn Tortillas by themselves.
Cabbage (Cueritos, Cilantro):
Tart, crunchy, fresh Cabbage, and the bits of Cueritos (Pork Skin) helped break things up, but it would’ve been nice to have more of the Cueritos.
Barbacoa (Short Rib, Domingo Rojo Beans, Bacon, Chipotle):
The Barbacoa Beef Short Rib was very tender, so soft you could cut it with a spoon.
There was a light beefiness, a good infusion of complex flavor that reminded us of a cross between classic French cooking and some herbal notes from Mexican cuisine. The Domingo Rojo Beans were soft enough, but had a nice bite. 
Hongos (Field Mushrooms, Nopales, Salsa Verde, Cotija, Puffed Wild Rice):
Tender Mushroom morsels, the Nopales and Mushrooms and Salsa Verde combination worked, but we were hoping for a bit more fragrant punch from the Mushrooms. Still, it was pretty tasty.
Chef Ray Garcia and his team continue to deliver some elevated Mexican cuisine in a casual setting. Their Albondigas (Meatballs, made of different meats depending on the season (Duck, Rabbit, etc.) have been tasty. Their Handmade Heirloom Corn Tortillas continue to be some of the best in the city, their Lamb Neck Tamales have continued to be great, and for main courses, don’t miss out on their Chicharron (w/ Garlic Mojo).
Broken Spanish
1050 S. Flower Street
Los Angeles, CA 90015
Tel: (213) 749-1460