1. Heat a medium skillet over medium-high heat. Add 1 tablespoon oil to pan. Combine shallot rings and cornstarch in a bowl; toss to coat. Add shallots to pan; sauté 5 minutes or until crisp.
2. Combine vinegar and next 6 ingredients (through garlic) in a bowl; drizzle in remaining 1/4 cup oil, stirring with a whisk. Add bok choy and mint; toss to coat. Top with fried shallots.