In a large bowl, add the iceberg lettuce, romaine lettuce, carrot, cucumber, radishes, cherry tomatoes, bell pepper, and red onion. Toss the vegetables gently to mix evenly.

In a small bowl, whisk together the olive oil, white vinegar, Dijon mustard, honey, salt, and pepper. Adjust the flavor by adding more vinegar or honey as needed. Drizzle over the salad.

Add shredded cheddar cheese, toss to coat, then serve with croutons if desired.