This is pic of what I've got.
Looks like you have enough hearth depth to put a stove there. Also, no trim to be concerned with and the mantel does not protrude out much. How far the top of the fireplace opening is from the hearth will determine which model(s) you could install.
Flue
Maybe it is just the picture but that insulation looks awfully close to the pipe especially when you don't know which type/brand it is. I would have a certified sweep take a look at the whole setup to determine if it is still safe to burn even when you decide to just run the fireplace. http://www.csia.org/search and (broken link removed to http://www.nficertified.org/pages_consumers/consumers-1.cfm)