Games like Across the Grooves
Games like Across the Grooves include Undertale, Life is Strange: Before the Storm, Slay the Princess — The Pristine Cut, LoveChoice, and Suzerain. We matched them by the tags players give Across the Grooves on Steam (Indie, Choices Matter, Visual Novel, Story Rich, and Interactive Fiction): closest matches first, and among equally close ones the better-known games.

Undertale
Shared: Choices Matter · Great Soundtrack · Story Rich

Life is Strange: Before the Storm
Shared: Choices Matter · Story Rich · Great Soundtrack

Slay the Princess — The Pristine Cut
Shared: Choices Matter · Visual Novel · Story Rich

LoveChoice
Shared: Choices Matter · Visual Novel · Story Rich

Suzerain
Shared: Visual Novel · Choices Matter · Choose Your Own Adventure

The Cosmic Wheel Sisterhood
Shared: Visual Novel · Choices Matter · Female Protagonist

Far Away
Shared: Choices Matter · Visual Novel · Story Rich

Milk outside a bag of milk outside a bag of milk
Shared: Visual Novel · Indie · Story Rich

The Life and Suffering of Sir Brante
Shared: Choices Matter · Story Rich · Visual Novel

Oxenfree
Shared: Choices Matter · Story Rich · Indie

Lost Records: Bloom & Rage
Shared: Choices Matter · Story Rich · Female Protagonist

OneShot
Shared: Indie · Story Rich · Great Soundtrack

Road to Empress I
Shared: Choices Matter · Visual Novel · Story Rich

Magical Girl Witch Trials
Shared: Visual Novel · Female Protagonist · Story Rich

Life is Strange: True Colors
Shared: Choices Matter · Story Rich · Female Protagonist

Refind Self: The Personality Test Game
Shared: Visual Novel · Interactive Fiction · Female Protagonist

To the Moon
Shared: Indie · Great Soundtrack · Story Rich

The Test
Shared: Story Rich · Choose Your Own Adventure · Choices Matter

Pyre
Shared: Indie · Great Soundtrack · Story Rich

GRIS
Shared: Indie · Great Soundtrack · Female Protagonist

Scarlet Hollow
Shared: Choices Matter · Visual Novel · Story Rich

STEINS;GATE
Shared: Visual Novel · Story Rich · Great Soundtrack

I Wani Hug that Gator!
Shared: Visual Novel · Choices Matter · Story Rich

The NOexistenceN of you AND me
Shared: Visual Novel · Story Rich · Interactive Fiction