1. Using a Y-shaped vegetable peeler, cut zucchini lengthwise into very thin strips just until seeds are visible.
2. Toss zucchini ribbons with shallots and next 6 ingredients. Serve immediately over arugula.
Squash Ribbons With Feta and Mint: Substitute yellow squash for zucchini. Proceed with recipe as directed.
Grilled Zucchini With Feta and Mint: Increase olive oil to 1/4 cup. Preheat grill to 350º to 400º (medium-high) heat. Cut zucchini lengthwise into 1/4-inch-thick slices. Brush with 2 Tbsp. olive oil. Grill zucchini, without grill lid, 2 to 3 minutes on each side or until tender. Proceed with recipe as directed in Step 2. Prep: 20 min.; Grill: 6 min.