In a large bowl, combine the mixed salad greens, shredded chicken, carrots, red bell pepper, green onions, cilantro, sliced almonds, and sesame seeds. Toss gently to mix all the ingredients together.
In a separate small bowl, whisk together the soy sauce, rice vinegar, honey, sesame oil, vegetable oil, grated ginger, and minced garlic until well combined.
Pour the dressing over the salad mixture and toss until everything is evenly coated.
Serve immediately or refrigerate for about 30 minutes to allow the flavors to meld. If preparing in advance, keep the dressing separate until ready to serve.