If you're looking for great shopping, we have West County Mall, The Galleria, and for a very upscale experience, there is Plaza Frontenac which has Saks & Neiman. You'll find Nordstrom at West County Mall and there is a Nordstrom Rack down the street from the Galleria mall.
If you want to do something tourist-like, I'd suggest a trip to the City Museum. It's a great place & definitely offers something for everyone (not just for kids).
http://www.citymuseum.org/home.asp
As far as dining, we have Ruth's Chris Steakhouse, Mortons, J. Bucks, and lot's of Sushi restaurants. I don't eat sushi, but a favorite among the locals is Miso in Clayton.
http://misolounge.com/ I've been there and it's a really cool place.
Enjoy Saint Louis!