Israel
Nature Parks and Natural Reserves - a web site where you can find lots of information and even buy a ticket that is good for all the parks.
North
- Capernaum National Park (North of Lake Kinneret, ruins + church above the ruins.
- Gamla - East of Lake Kinneret on the Golan Heights. Nice hike with ruins, waterfall, and watching birds.
- Tiberias, city on the Western shore of Lake Kinneret.
- Har Megido - (Megido mound) Its name is the source of the word Armegedon.
- Rosh HaNikra on the Mediterran sea shore next to the Lebanon border
- Acre (Akko) see the Old city of Acre
- Bahai temple in Haifa
- Visit a Druze village.
- Nazareth
South
- Mitzpe Ramon
- Eilat
Center
- Cesaria National Park with Roman ruins.
Jerusalem
- Walking around the old city
- The Western Wall (Kotel) + tours in the Western Wall tunnels.
- Tower of David Jerusalem Museum
- City of David tours in tunnels.
- The Ramparts Walk - Walk on the city walls.
- Yad Vashem
- The Israel Museum
Dead Sea
- Lots of hikes with 4-500 m elevation gain.
- Qumran Park, the source of the Dead Sea scrolls.
- Ein Gedi Nature Reserve - short hike to a waterfall.
- Masada National Park
- Ein Bokek Dead Sea beach and walking in the Bokek stream.
Tel Aviv - Jaffa
- Jaffa old city
- Diaspora Museum
- Nachlat Binyamin
- Old Tel Aviv Port (Namal Tel Aviv)
- Tel Aviv beach-front (HaTayelet)
- Sarona (colony)
Judea an Samaria (aka. West Bank)
- Herodium
- Bet Lechem
- Hebron
Other
Public Transportation in Israel
Probably the best is to use one of the applications to see the lines, the schedules and to pay. I personally use the HopOn application to pay for public transportation. You pay as you go and it automatically applies the daily or monthly maximum payment.
There is also Rav-Kav.
There are several bus companies serving different areas of the country and there is train service. Some of these sites are blocked outside of Israel.
Fun
- Rob Roy Kenu on the Jordan river
- Hot Air balloons