Shin Shirayuki-hime Densetsu Prétear, Blue Seed Recommendations
Both are very similar as the girl is protected and they fight monsters and destroy at the core. a lot more similarities. . .
Both focus on the main character's "destiny" as a protector (Pretear- Himeno as the Pretear; Blue Seed- Momiji as the Kushinada). Also, both shows' enemies are created by evil seeds that are put into objects and turn the objects into evil creatures. Both anime are very good and an excellent watch! :)