The Bazaar in Shiraz is an astonishing place with tons of amazing staff. There are intricate backgammon sets, beautifull ceramics and of course amazing carpets. A word of warning: if you are visiting Esfahan the Bazaar there is bigger, better and you can probably get lower prices.
Unique Suggestions: -Have an idea of how much things should cost (easier said than done...)
-Never, never buy immediatedly from the first shop you see something you like. Look around and you can always come back.
Fun Alternatives: Bought something that you found elsewhere for a lower price? Never mind, if it was worth it to you in the first place it is still worth it even now!
Persepolis - perhaps the most famous tourist destination in Iran. I was surprised to find that it was not in the desert! All the photos I had seen previously made me think it was surrounded by sand - not so! Still, very impressive ruins. Unfortunately, it seems to be somewhat run-down. I hope that rumours of sizeable pieces of stonework being sold overseas illegally are not true. Some of the graffiti carved into the stonework is itself historic - dating back to the 1800's!