Start by shredding the Queso Oaxaca, Pepper Jack, and Mozzarella cheese. Set them aside in a bowl. Chop the onions, mince the garlic, and open the can of diced green chilies.
In a large skillet over medium heat, add the chorizo and cook until it’s browned and cooked through, about 6-8 minutes. Use a wooden spoon to break it up as it cooks.
Once the chorizo is cooked, add the chopped onions and sauté until they are translucent, about 3-4 minutes. Then, stir in the minced garlic and cook for an additional minute until fragrant.
Stir in the can of diced green chilies, mixing everything well. Let it cook for another minute to combine the flavors.
Reduce the heat to low and add the shredded Queso Oaxaca, Pepper Jack, and Mozzarella cheese. Stir continuously until the cheese is melted and creamy. If the mixture is too thick, you can add a splash of milk or cream to achieve your desired consistency.
Once the cheese is fully melted and combined, remove from heat. Top with freshly chopped cilantro and green onions. Serve immediately with tortilla chips, fresh bread, or your favorite dipping items.