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An animal sanctuary where you can see and hand-feed many different types of monkeys and some other animals. It gets great reviews!
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Tsipori, Sepphoris
An archaeological site famous for its well-preserved mosaics from the Roman period. It was once the biggest city in the region.
Kafr Kanna
The site of the Marriage of Cana.
Beit Lechem Haglilit
A German Templer town from the 19th century with beautiful houses from its former settlers. Though, it has not much in common with Bethlehem itself. The scenic/interesting road is the upper one running through town.
In Druze (and Muslim) tradition, this is the burial site of the prophet Shu'ayb (called Jethro in the Bible). Visitors are welcome. You can take photographs, but not in the tomb chamber. From April 25-28 each year, the Druze have a massive pilgrimage to this site.
Karnei Hittin
Where the crucial battle over the Holy Land took place between the Mameluks and the Crusaders. Now it is just a barren hill though.
Beth Shearim was a Jewish town and necropolis in ancient times. Most of the remains date from the 2nd to 4th century CE. Among those buried in the caves are such famous figures as Rabbi Yehuda Hanasi, author of the Mishna, the text to which the Talmud is a commentary. You can explore several burial caves with intricately carved sarcophagi and wall decorations.