As you know by now, I sorely New York's world-class museums. Tel Aviv museums really cannot compete on that level but they do have all sorts of smaller museums with their own charm and allure. An example is the Eretz Israel Museum which is a series of small buildings set on fairly nice grounds. The permanent collections are not too exciting but the museum often has interesting temporary exhibits.
Currently there is an exhibit of photos of Haredim taken by the photographer, Menachem Kahana. The pictures are amazing. They capture Haredi life but often with a slight twist or sense of humor such as a Haredi man walking around with curlers in his hair. The colors and juxtapositions of the subjects are truly amazing. The exhibit is only one room so it is a nice way to spend an hour or less.
On your way be sure to check out the museum gift shop which has some really great wares for sale.
Eretz Israel Museum - 2 Haim Levanon Street, Tel Aviv