01 - Whisk together Greek yogurt, olive oil, curry powder, cumin, coriander, turmeric, chili powder, garlic, salt, and lime juice in a bowl. Coat chicken pieces thoroughly with the marinade. Cover and refrigerate for at least 15 minutes, up to 2 hours for deeper flavor penetration.
02 - Combine green and purple cabbage, carrot, red onion, and cilantro in a large mixing bowl. Whisk together lime zest, lime juice, mayonnaise, Greek yogurt, honey, salt, and pepper in a separate small bowl. Pour dressing over vegetables and toss until evenly coated. Refrigerate until ready to serve.
03 - Combine Greek yogurt, chopped mint, lemon juice, salt, and pepper in a small bowl. Mix thoroughly until incorporated. Refrigerate until serving time to allow flavors to meld.
04 - Heat grill pan or skillet over medium-high heat. Cook marinated chicken for 6-8 minutes per side until internal temperature reaches 165°F and exterior develops golden-brown char marks. Remove from heat and let rest for 5 minutes before slicing or shredding.
05 - Plate generous portions of lime coleslaw as a bed. Arrange sliced curried chicken on top. Drizzle with mint yogurt sauce and garnish with additional cilantro and lime wedges if desired. Serve immediately while chicken is still warm.