Mount of Olives
Separated from the Eastern Hill (the Temple Mount and the City of David) by the Kidron Valley, the Mt. of Olives has always been an important feature in Jerusalem's landscape. From the 3rd millennium B.C. until the present, this 2900-foot hill has served as one of the main burial grounds for the city. (See: http://www.bibleplaces.com/mtolives.htm)
Dome of the Ascension
The Church of the Holy Ascension was taken by Saladin in 1187 and converted into a mosque and remains such today. It contains what is traditionally the last footprint of Jesus on earth before he ascended into heaven. (See: http://en.wikipedia.org/wiki/Chapel_of_the_Ascension_%28Jerusalem%29)
Dominus Flevit Church
Built in 1955 to commemorate the Lord's weeping over Jerusalem, Dominus Flevit features a beautiful view of the city through its distinct chapel window. Excavations during construction of the church uncovered a number of ossuaries (bone boxes) from the time of Jesus with numerous inscriptions. (See http://www.sacred-destinations.com/israel/jerusalem-dominus-flevit-church)
Gethsemane
Gethsemane is a garden at the foot of the Mount of Olives in Jerusalem, most famous as the place where Jesus prayed and his disciples slept the night before Jesus' crucifixion. (See http://en.wikipedia.org/wiki/Gethsemane )