I wasn't expecting much from this museum but was pleasantly surprised by the buildings, displays, and even a botanical garden inside. The four buildings contain the departments of archaeology, ethnology, natural history, and a library. The library was not open for visitors when I was there. There was also a Japanese manga exhibition in one of the buildings which was a nice surprise.
Don't miss the building containing re-created rooms of a wealthy Muslim family's house. It's a gorgeous and well-preserved example of that era. The courtyard/garden has Medieval tombstones aka Stecak which are fascinating with several in good conditions that you can view the carvings on them.
I spent about 3 hours here with only a few other visitors as the place was empty. Apart from needing a gift shop and coffee shop, it was a lovely visit. Recommended if you're in the city.