The Lithograph Book has 3 sections to it. Common items, Uncommon items, and Rare items.
Each section requires you to farm different enemies or to craft the items at a crafter.
You can earn rewards for each row you complete as you acquire items to register in the Lithograph Book.
Common Items
As shown above, you can see the items required on the left and the rewards on the right. You can view all the Common items needed for the Lithograph Book as well as their rewards here.
Uncommon Items
You can view all the Uncommon items needed for the Lithograph Book as well as their rewards here.
Rare Items
You can view all the Rare items needed for the Lithograph Book as well as their rewards here.
The Lithograph Book is a great way to use items you do not need or want to gain the resources that you need.