Wrigleyville is great, but I think you would like the area around the Hancock center, the Gold Coast area which is a few blocks north of it and the MagMile on Michigan. Also, another great area is River North bound roughly by Chicago, Michigan, Orleans, and Grand. Chitown has many great neighborhoods: this is why Chicago is called the city of neighborhoods. Oftentimes, only visit the Loop, and then you miss out on all the great places our city has to offer.