Make the dressing: In a small bowl, whisk together rice vinegar, soy sauce, sesame oil, honey, ginger, and garlic until smooth. Set aside.
Toast the almonds: In a dry skillet over medium heat, toast sliced almonds for 2-3 minutes, stirring frequently, until golden and fragrant. Remove from heat and let cool.
Combine the salad: In a large bowl, toss together shredded chicken, green cabbage, red cabbage, carrots, dried cranberries, and green onions.
Add dressing: Pour the dressing over the salad and toss well until everything is evenly coated.
Top and serve: Sprinkle toasted almonds and sesame seeds on top. Serve immediately or refrigerate for 15-30 minutes to let flavors meld.