We have a great mall on the north side called Polaris Fashion Place. It is a gorgeous mall just about 5 or 6 years old, it's in the Lewis Center area, very accessable from Powell, Worthington, Westerville and points beyond. Easton on the north east side is a great place to shop too, very convenient to Gahanna and New Albany. It is newer too. Easton has lots of Limited Stores, The Limited, Victoria's Secret, Bath and Body Works etc. because the Limited Stores are based here. We have a nice mall northwest too, Tuttle Crossing, in Dublin.
If you want to hit the Outlet mall, they are further out. Way out southwest of Columbus in Jeffersonville. Worth the trip for those who like outlet shopping.