We loved Storytime with the Millers. You can find this one and more from rod and staff. Also, Abeka readers have great character stories usually with scripture to tie the story together.
As for true stories, Beautiful Feet history tells about the person and what character quality/qualities the person had. Example..Benjamin Franklin exhibited kindness/goodness-by considering others and the poor.
And always there are Bible stories where the person shows different godly characteristics. Noah obeyed God by building the ark. David trusted God to give him the win over Goliath. Joseph showed forgiveness towards his brothers.
Queens homeschool has books for girls and boys about character. We are currently reading Benny, Boy of the Prairie.
Everyday Graces by Karen Santorum is a Childs Book Of Manners. There are poems, short stories, and excerpts from literature that shows the characters exhibiting all sorts of manners and good habits.
I have lots more..but have to go! Will let you know more later!
Hope this helps!