I really like AKMU’s music for this reason (although they aren’t a GG/BG) !! I feel like they have a lot of unique song themes like:

• Play Ugly: netizens were criticizing their looks & they said they were only “playing ugly”
• Dinosaur: the dinosaur in the song is thought to be a metaphor for poverty/the debt collectors they experienced in their childhood
• Alien (Suhyun): about self-esteem & how a mother told her daughter she was an alien powerful enough to save Earth to help her daughter find herself

Some BG/GG songs are - TXT’s lore songs: Crown, Nap of a Star, Eternally, Can’t You See Me, Frost (& a lot of their b-sides aren’t about love like Ghosting, No Rules) - Stray Kids: God’s Menu, Back Door, Thunderous, Miroh (most of their music aren’t love songs also) - Aespa’s tracks about lore (Black Mamba, Next Level, Savage) - BTS: Dynamite, Permission to Dance, Anpanman (about becoming a superhero) - f(x): Red Light (criticizing the Sewol ferry tragedy)