Pull off and discard the tomatillo husks. Rinse tomatillos and thinly slice into a bowl.
Add orange juice, lime juice, 1/4 teaspoon salt, and 1/4 teaspoon pepper; mix gently.
Rinse, core, and thinly slice tomatoes. Cut cheese into very thin slices. Arrange both on a flat plate.
Spoon tomatillo mixture over tomatoes and cheese. Sprinkle with cilantro; season to taste with salt and pepper. Accompany with chili-cumin chips.