Some resources I’ve found so far:
“The Bible Story Handbook: A Resource for Teaching 175 Stories from the Bible” by John Walton
DK Illustrated Children’s Bible - this one does have the creation story in days just like in a regular Bible, but DK is a mainstream publisher and this version has a lot of added cultural context in sidebars including maps, diagrams, and extra sections that you rarely find in a children’s Bible.
Usborne Lion Storyteller Bible by Bob Hartman (this one specifically avoids any mention of actual days in the creation story of Genesis! So far that’s the only one I’ve found that does that. It also comes with the audiobook version on discs included, the narrator is awesome and great for the car)
Usborne Lion Storyteller Easter Book by Bob Hartman
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What’s in the Bible? DVD series by Phil Vischer.
There is a homeschool curriculum that uses the above resource written by Dana Cooley called “Bible Road Trip”. She is conservative YEC (and Calvinist I think), but apparently the curriculum stays pretty neutral and focused on scripture. I have only tried a bit of it so I can’t say for sure, but someone else on this forum had recommended this also.
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Tom Wright’s “For Everyone” devotional series would be great for high schoolers, and some middle schoolers.
“New Testament for Everyone” by Tom Wright
The Old Testament for Everyone by John Goldingay. The Genesis book leaves room for evolution to be true, and includes some interesting thoughts on Adam and Eve and what the implications would be if they weren’t historical people. Easy enough to read for high schoolers and probably most middle schoolers.
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Timothy Keller accepts evolution, these could be good devotionals for middle school or high school:
“God’s Wisdom for Navigating Life: A Year of Devotions in the Book of Proverbs”
“The Songs of Jesus: A Year of Daily Devotions in the Psalms”
I haven’t read much of his stuff yet, but his books seem quite approachable and easy to understand.
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“Basic Theology”
and
“Basic Theology Readings”
by Alister McGrath - he has written some excellent books on science and faith as well. He believes evolution is true. This Theology book is simple enough that it could be used with middle schoolers. He is one of the most approachable authors on the topic, in my opinion. He has both an advanced science degree and theology degrees (Anglican perspective)
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Little Blessings series by Kathleen Bostrom and Elena Kucharik for very young children. Not specifically avoiding YEC, but very gentle and good for young children who have anxiety. All the books we have focus on God’s love and kindness. Topical books cover things like “What is God like?”, “Is God always with me?”, also some books cover heaven and the cross and other subjects that might be harder to discuss with very young children, in a gentle and kind way. The book “Who Made the World?” Does take a YEC perspective but avoids mention of actual 24 hour days.
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“How to Study Your Bible for Kids” by Kay Arthur (She is YEC, but there is nothing about YEC in this specific book from what I’ve read so far. I haven’t read it cover to cover, just samples of chapters.)
There are other books in the series on specific books of the Bible. There are ones on James, Proverbs, etc. The one on creation has a strong YEC bent
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The blog “eclectic-homeschool . Com” , the writer is a proponent of old earth Creation and has many good resources listed. She was actually instrumental in me looking into the truth of evolution in the first place.