First, DJ, the whole Law was a tutor leading to Christ. Of course, the Jewish feast days were centered in him. There are 2 celebrationsdays that were not originally given to the Jews in the Law, Purim (see book of Esther), the celebration of the defeat of the genocidal attack on the Jews orchestrated by Haman. If it had succeeded, there might have been no Jesus. Second, the Festival of Lights was Chanukah, is a celebration of the victory of the Maccabees and the rededication of the Jerusalem Temple. This occurred after the writing of Malachi, the last book of the Old Testament, and before the appearance of Jesus in 33 CE. It commemorates the miracle of the oil that burned for 8 days. If you check the dates of this festival (Kislev 25), it varies in December, and can come as early as December 6 no where near the 25th. I have never seen it associated with Christmas except in the minds of some Christians because gifts are exchanged. The customs connected with Chanukah have little else in common with Christmas. Both these festivals, Purim and Chanukah, were not mandated like the Passover.
2003 December 19-27
2004 December 7-15
2005 December 25 - January 2, 2006
The website above is a good detailed description of what happens at Chanukah and how it has little resemblance to Christmas.