Pesach - is celebrated in memory of the Exodus of the Jews from Egypt also known as Passover.
Hanukkah - this is also known as the Festival of Lights or Chanukah.
Purim - this is the happiest of the Jewish Festivals is a reminder of How Persia saved them from Destruction.
Shavuot - also known as the Feast of Weeks or Pentecost.
Rosh Hashanah - is the Jewish New Year.
Yom Kippur - also known as the Day of the Atonement.
Sukkot - also known as The festival of the Tabernacles and Succot or Succoth.
Yom Atzma'ut - Also called Yom Haatzmaut is Israel's Independence Day.
Shabbat - most special day for all Jews.
Simchat Torah - Rejoicing in the Torah.
Tu B'Shevat - New Year for Trees. UPDATED
Yom Hashoah - the Holocaust, the Shoah. UPDATED
Tisha B'Av - fast day recalling the destruction of the temple.
Other Jewish Occasions - such as Bar Mitzvahs, Bat Mitzvahs, Marriage, death and funeral services.
Bikurim Festival - harvest of Spring. NEW
Lag b'Omer - the thirty-third day after Passover. NEW
Fast of Esther - the day before Purim. NEW
Yom Hazikaron - Memorial Day. NEW
Yom Yerushalayim - Jerusalem Day. NEW
Fast of Sheva - Asar B'Tamuz. NEW
Tzom Gedaliah - Fast of Gedaliah. NEW
Fast of Asarah - B'Tevet. NEW