Music is an excellent tool for memorizing things. Here are a few of the things that the kids and I have committed to memory through the use of music over the last few years:
All 13 Articles of Faith
The Books in the Old Testament, New Testament, and Book of Mormon in order
The names of all 50 states in alphabetical order
The Preamble to the Constitution
The United States Presidents in order
This year we already learned all the states' capitals. We practiced it 2-3 times per school day and after practicing only 2 weeks with the video and 1 week with only the printed lyrics, the girls already can quote the whole thing. It took Tertius a bit longer. It was adorable when Quartus started singing the Presidents with us last year. I can't wait until he attempts to sing this one, too.
Eventually we'll memorize the entire Family Proclamation and even the whole Periodic Table of the Elements!