If you want to do some grocery shopping, or get petrol before returning home, or you fancy 'mall'-type shopping, try Monks Cross. It's about 2 miles north-east of the city-centre & features most of the familiar 'High Street' names.
There's also a 'Park & Ride' bus service at Monks Cross. York city-centre, because of its quaint nature, is not designed for motor vehicles, so city-centre parking is limited & consequently expensive
McArthur Glen Designer Outlet - This shopping centre houses over 100 designer shops offering a 50% reduction off the labels. If you love clothes shopping this is the place to come. They have a wide variety of designers including Ralph Lauren, Armani and Calvin Klein. The centre is just south of York off the A19/A64.