Okay, this one really depends on what you mean by 'emotional.' If you're looking for straight-up tearjerkers, I'd point you toward 'Saving the Villain from the Heroine'—which is a weird title, but the core is the male lead failing to save his family in the first timeline and spending the regression trying to atone while fighting his own self-destructive guilt. It's less about becoming powerful and more about learning to accept forgiveness, which hits differently.
That said, a lot of webnovels use regression as a pure power fantasy. The emotional beat is often just a single chapter of regret before the grind starts. For a true redemption arc, the character's flaws have to follow them. 'The Return of the Broken Constellation' does this well; the protagonist's initial arrogance caused the apocalypse, and his second chance is burdened with the knowledge that his past personality is the real enemy. The redemption isn't guaranteed, which makes the small emotional victories land harder.
My dark horse pick is 'I Became the Tyrant's Secretary.' It's a villainess regression story, but the 'redemption' is societal and professional. She regresses and uses her knowledge not for revenge, but to systematically fix the corrupt government she helped break in her first life. The emotional core is her quiet, bureaucratic atonement.