If one New York neighborhood has mastered the art of looking polished and timeless without chasing fleeting trends, it’s Manhattan’s Upper East Side. Women’s wardrobes are filled with classic tailoring, elegant textures and refined silhouettes that are as well suited to weekend brunch as a gallery opening. Fortunately, you don’t need a Madison Avenue budget to recreate the aspirational aesthetic. Walmart is bursting at the seams with sophisticated fall pieces emblematic of that signature New York polish, from tweed jackets and cable-knit sweaters to tailored trousers, heritage plaids and femin...