موزه هنرهای اسلامی

A smallish museum that holds an impressive exhibition, (2 floors) of Islamic art and history (permanent)
A clocks and watches collection, with an interesting story, takes another floor (permanent)
Currently, there's a coffee history exhibit.
All in all it's worth a visit.
Also, stop by for a break at the "Hansen house" or the Jerusalem Theater" which are both within walking distance.