How are Hanukka and Christmas different?

Answer 1

Christmas is the Christian celebration of the birth of Jesus.

Channukah celebrates the successful battle and defeat of a invader that attempted to force Jews to assimilate, plus a miracle that occurred while rededicating the Temple to God.

The Seleucids (Syrian-Greeks) under Antiochus Epiphanes (2nd century BCE), at the instigation of the Hellenizers, had forbidden various Torah-practices such as Sabbath-observance, and pressed the Jews to offer up idolatrous sacrifices. The Hasmoneans (a family of religious Jews) fought to retake the Holy Temple, which had been seized by the Seleucids, and to enable the people to once again observe the Torah.

When they reached the Temple grounds and prepared to light the Temple's menorah (Exodus ch.25), they found only one day's supply of unsullied olive oil. Miraculously, the menorah stayed lit for eight days (Talmud, Shabbat 21b), allowing enough time for new oil to be prepared and brought.

The significance of the miracle is that it demonstrated that God's presence still dwelt in the Holy Temple. This is what Hanukkah represents: the closeness to God; and the avoidance of Hellenization (assimilation).

The Torah Sages instituted the festival of Hanukkah at that time (Talmud, Shabbat 21b), to publicize the miracle (Rashi commentary, ibid).