There are interesting comparisons between Passover and Christmas, and in particular, between Moses and Jesus. Below are some points of comparison. You can probably come up with more on your own!

Moses Jesus
Pharaoh orders Jewish male babies killed, fearful that the Hebrew slaves will revolt and throw off his authority.
(Exodus 1:8-16)
Herod orders Jewish male babies killed, fearful that the Messiah will eventually lead a revolt that will threaten his authority.
(Matthew 2:1-16)
Pharoah is powerless to take the life of God’s chosen, Moses, who will eventually free his people from Egyptian bondage.
(Exodus 1:17)
Herod is powerless to take the life of God’s chosen, Jesus, who will eventually free His people from the bondage of sin.
(Matthew 2:19-21)
Moses, the son of oppressed people, grows up as royalty in Egypt.
(Exodus 2:1-10)
Jesus, the King of Kings, grows up as the son of oppressed people, spending part of His youth in Egypt.
(Matthew, Luke)
Moses works as a shepherd before leading the Israelites out of Egypt.
(Exodus 3:1)
Jesus describes Himself as “the good shepherd.”
(John 10:11,14)
Moses is called upon to challenge the authority of Pharaoh, who refuses to recognize the power of God despite many miracles.
(Exodus 5-11)
Jesus is called upon to challenge the religious authorities of His day, most of whom refuse to recognize the power of God despite many miracles.
(John 10:32)
God spares the firstborn sons of Israel because of the blood of the lamb painted on their doorposts and lintels.
(Exodus 12:12-13)
God does not spare His own Son, but sends Him to shed His blood on a wooden cross.
(John 3:16, Ephesians 1:7, Colossians 1:14, Hebrews 9:12)
The death of Egypt’s sons causes Pharaoh to release his hold on God’s chosen people.
(Exodus 12:29-31)
Jesus’ death causes sin to lose its grip on those who receive His sacrifice as the unique atonement for sin.
(Romans 8:2)
God commands the children of Israel to remember how He redeemed them from slavery by celebrating Passover.
(Exodus 12:14-21)
As Jesus celebrated Passover with His disciples, He instructed them to use the unleavened bread and the cup as reminders of the redemption He was about to accomplish.
(Luke 22:19)