Between the Grand Bazaar, the Egyptian Bazaar, and the Arasta Bazaar, the Egyptian Bazaar was my and my travel companions' favorite. It's not overwhelmingly big like the Grand Bazaar but has more hustling and haggling than the Arasta Bazaar.
You can find spices, treats, and just about any type of souvenir item you'd want to take home. We also found that we could get items cheaper here than at either of the other bazaars. Just remember to haggle!
I also recommend wandering outside of the covered area of the bazaar and taking a look at some of the outside stalls. Not all outside will sell tourist items, but it's at least interesting to see as some of the locals shop outside.
You also must stop at the Mehmet Efendi coffee stand just outside the bazaar. You can pick up freshly ground Turkish coffee here. (And by freshly ground I mean they do it as you ask for it. The bag you receive will still be warm!) Definitely not something to miss!