Dubai Mall sucks.. believe me. I didnt like it at all. Or may be I am just tired of seeing so many Malls every where. Or may be I do not like those places where you CANNOT shop. 
The aquarium is good though.
City Center is good .. lol… coz i get a lot of places there I can do shopping from. Wafi is good too. Oasis is another place where if it was possible, they would be charging ppl for window shopping too
MOE is nice place. I like it coz its all the time fully crowded and its somehow nice place to see. I prefer it over Ibn e Batuta.
Ibn Batuta is the very first Mall u ll see while coming from Abu Dhabi. Inside dubai to avoid traffic we usually do not dare to cross Ibn Batoota or maximum till MOE coz after these two malls there are 100% that you ll get stuck in dubai traffic. Which is the last thing anyone will wish for. Waise tou aaj kal dubai is in control. due to recession a lot of ppl have left the place. so kuch sakoon tou hai… plan your trip quickly and take some advantage of recession period 
Marceto is nice place too. Actually very nice place to visit. Very beautifully constructed. Italian n Spanish architecture is on its heights.