Position a rack in the top shelf of the oven and preheat to broil. Arrange the corn chips on a large, heatproof platter in a single layer to overlap slightly. Sprinkle the cheese over the chips, then dot evenly with refried beans and crumbled cooked chorizo.
Broil until the cheese is bubbling, 3 minutes. Remove the platter from the oven, top with lots of lettuce and cilantro.