These powerfully seasoned chicken breasts grill up smoky and moist. Serve with minted iced tea and Asian beers. For dessert, offer mango sorbet with pineapple.
Combine first 10 ingredients in processor. Process until well blended, scraping down sides of bowl occasionally.
Arrange chicken in 13 x 9 x 2-inch glass dish. Spoon herb mixture over chicken, covering completely. Cover dish; chill at least 2 hours, turning chicken occasionally. (Can be made 1 day ahead. Keep chilled.)
Meanwhile, prepare barbecue (medium-high heat). Grill chicken until cooked through, about 5 minutes per side.
Cut chicken crosswise into thin slices. Transfer to plates and serve.