I'm a huge pizza guy and I've tried pretty much every joint in this town over the years.
A little known place that's a little far west but worth it if you like thin style pizza is Two Brothers in Town & Country mall. Two Brothers, Anthony's, and Mike's Pizza (on Kendall and 137th) are my 3 favorite pizza places in Miami. I'll mention Andiamo's (pretty sure I butchered the spelling) on Biscayne near the Art District...outstanding pizza as well.
As for Big Cheese...love the place but more for the atmosphere/ambiance than the actual food. Speaking honestly the food is not bad but nothing to write home about.