Jerusalem is one of the holiest cities in the world, and has many attractions, The Wailing Wall that was once part of the Temple of Solomon, Calvary, the place where Jesus was crucified, and Golgotha, the site of his resurrection. The golden dome of the great mosque dominates the skyline, and is a beautiful and ornate building.
The Dead Sea is the lowest point on the surface of the planet, and the waters are so salty that you can float for hours in them without moving.
Tel Aviv is a modern and cosmopolitan city and a mix of cultures from around the world. As the first point most people arrive into, it is a great place to meet the locals and pick up tours to the other places in the country.
The Red Sea Coast at Eilat has some of the best diving in the world, and the long sandy beaches are a great place to relax at the end of a holiday, there are good hotels and some fascinating local scenery as well.