Firstly, we use the storied scriptures as laid out by the School of Abraham, basically they have taken the MEAT of the scriptures and outlined them. We follow their outline reading daily, and then we occasionally supplement what we have read with other sources. We print pictures from the living scriptures coloring books and also watch the movies that go along with what we are reading. (they also have FHE ideas on their site). Typically they color the pages while I read. We also like the Who's Your Hero? Series. These are great b/c it relates the stories to the child's life, and they also have FHE lessons to go along with each story as well. Scripture Scouts is also something my kids enjoy listening too. They have CD's for Book of Mormon, Old and New Testaments, Articles of Faith and the Family Proclamation. These are cute little plays on CD, of kids acting out and retelling the scripture stories.
As C is getting older and being able to read independently, we have purchased Discover The Book of Mormon program for this year, they also offer other programs besides The Book of Mormon, and we plan to get them all if the BOM program goes well. The early elementary programs use the Scripture Story Readers sold by LDS Distribution, and the older children programs use actual scriptures.
More ideas for younger children:
Now for Quiet Bags for Sacrament Meeting. I am a firm believer that if kids are going to be otherwise occupied during sacrament meeting, it should be atleast church related. So we have a church bag that comes to church on Sunday's...in our bag we have a a notebook with puzzles printed from the living scriptures coloring books, they are in page protectors so that dry erase markers can be used on them...again and again and again. We also have some of our scripture study materials...scripture board books, Who's Your Hero?, etc. Then there are some various other materials purchased from Deseret Books:
Book of Mormon: Seek and ye shall find
Book of Mormon Busy Book
and other items.
It's actually time for a revamping of the scripture bag...it's on my mile long to do list...but for now, we are using what we have. I would like to make some file folder type games, and other quiet books, specifically something for them to look at and think about Jesus during the passing of the sacrament (the rule with the bag is that they can not take it out until after the Sacrament has been passed).
We also have a felt pieces that I have not taken down in sometime....I need to use those again.
So that's our scripture study in a nutshell. I'd love to hear what you do with your family!
ADDED: As luck would have it Latter-Day Homeschooling Blog has a post about Scripture Journaling! Check it out http://www.latter-dayhomeschooling.com/2011/05/scripture-journaling.html
A few more great ideas....SINGING THE SCRIPTURES (for memorization), check out these sites
and more MEMORIZATION tips
I can't believe I forgot about this site