Over medium-high heat, heat oil in a heavy pot that is at least 3 quarts or larger.
Once the oil is heated, crumble the meat and use a fork to break up any lumps. Stir occasionally and continue cooking until the meat is evenly browned.
Combine beer, tomato sauce, red chile crushed, 1 tsp cumin, oregano, salt, paprika, onion, and garlic in the pot. Stir thoroughly and bring to a boil.
Reduce the heat to low and let the mixture simmer uncovered for 1 hour, stirring occasionally.
Check the seasoning and adjust as needed, including adding cayenne pepper to give it a kick. Allow the chili to simmer uncovered for another hour.
Add the cheese and remaining ½ tsp of cumin to the chili and stir until the cheese is melted.
Let simmer for an additional 30 minutes, stirring occasionally to prevent the cheese from burning.
For a finishing touch, add shredded cheddar cheese, diced white onions, and a scoop of sour cream on top of each bowl before serving.