This simple asparagus recipe gets a double-dose of sesame flavor by first tossing the asparagus with toasted sesame oil, then finishing them with toasted sesame seeds. Toss these on the grill with this Grilled Honey-Lime Chicken , or any protein of your choosing. Grilling imparts a delicious, natural smokiness, but you could also roast the asparagus in the oven. When buying asparagus for grilling, look for thicker spears—these will be easier to handle on the grill.