Make sure you go out and visit this beautiful suburb of Adelaide... It's on the coast and has some gorgeous shops and great cafes/restaurants... :)
Water park, amusement rides, and interesting stores. I remember purchasing magic green lipstick that turned to pink when placed on skin (remember that I was 7 years old, so this was exciting, hehe).
Jetty Road is the main road in the Glenelg area. There are many shops you can go to. You will also find a beach up here.
Glenelg is just a quick 15 minute tram ride from downtown Adelaide. It is a great little area, with the street leading up the beach, lined with countless shops.