Finding a unique New Testament scripture that reflects the themes of Leviticus 3 (the Peace Offering) can be challenging, but here's a thoughtful choice:
Philippians 4:7 (ESV): "And the peace of God, which surpasses all understanding, will guard your hearts and your minds in Christ Jesus."
This verse emphasizes the concept of peace, which is central to the Peace Offering in Leviticus 3. It connects the idea of divine peace and relationship with God, echoing the notion of reconciliation and fellowship established through the offerings. Although it may not be an uncommon verse, its specific application and interpretation as a reflection on peace offerings can be unique in the context of your study.