1. Skillet: A Grammy-nominated Christian rock band known for their hard-hitting and melodic sound. They have a style that blends elements of alternative rock, heavy metal, and electronic music. Some of their notable songs include "Awake and Alive," "Monster," and "Feel Invincible."
2. Red: Another Christian rock band with a powerful and aggressive sound. Their music combines elements of hard rock, alternative metal, and post-grunge. Some of their popular songs include "Breathe Into Me," "The Awakening," and "Fighters."
3. Thousand Foot Krutch: A Canadian Christian rock band known for their intense and high-energy sound. Their music fuses elements of alternative rock, hard rock, and electronic music. Some of their well-known songs include "Fire It Up," "The Flame in All of Us," and "Untraveled Road."
4. Disciple: A Christian rock band with a strong emphasis on hard rock and pop-punk influences. Their music is known for its catchy melodies and anthemic choruses. Some of their hit songs include "Dear X," "Scars Remain," and "Rise Up."
5. Family Force 5: A Christian rock band with a unique blend of hip-hop, electronic music, and rock elements. Their music is characterized by its upbeat and energetic vibes. Some of their noteworthy songs include "Cray Button," "Dance or Die," and "BZRK."
These are just a few examples of Christian rock bands that share certain aspects of Three Days Grace's and Green Day's sound. Each band has its own distinct style and approach to Christian rock music.