Prepare the white rice according to package instructions until tender and fluffy.
Grate the cucumber and squeeze out excess moisture using a fine-mesh sieve or paper towel.
In a small mixing bowl, whisk together the Greek yogurt, grated cucumber, minced garlic, and lemon juice to create the creamy tzatziki sauce.
Slice the chicken breast into thin strips and season both the chicken and ground lamb with dried oregano, sea salt, and black pepper.
Heat the olive oil in a large skillet over medium-high heat.
Add the chicken strips and ground lamb to the skillet, cooking until the chicken is golden and the lamb is fully browned and slightly crispy.
Halve the cherry tomatoes and finely dice the red onion.
Assemble the bowl by placing the warm rice at the base, then topping with the seared meats, fresh tomatoes, and red onion.
Finish with a generous dollop of the prepared tzatziki sauce before serving.