Games like Best Day Ever
Games like Best Day Ever include Detroit: Become Human, Undertale, Road 96, The Henry Stickmin Collection, and The Wolf Among Us. We matched them by the tags players give Best Day Ever on Steam (Indie, Choices Matter, Multiple Endings, Choose Your Own Adventure, and Adventure): closest matches first, and among equally close ones the better-known games.

Detroit: Become Human
Shared: Choices Matter · Multiple Endings · Story Rich

Undertale
Shared: Choices Matter · Multiple Endings · Indie

Road 96
Shared: Choices Matter · Adventure · Multiple Endings

The Henry Stickmin Collection
Shared: Multiple Endings · Choose Your Own Adventure · Choices Matter

The Wolf Among Us
Shared: Adventure · Multiple Endings · Choices Matter

Late Shift
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

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

The Test
Shared: Choose Your Own Adventure · Multiple Endings · Choices Matter

The Life and Suffering of Sir Brante
Shared: Choices Matter · Choose Your Own Adventure · Indie

Love Is All Around
Shared: Visual Novel · Multiple Endings · Choices Matter

Far Away
Shared: Choices Matter · Visual Novel · Singleplayer

Emily is Away <3
Shared: Choices Matter · Indie · Multiple Endings

OneShot
Shared: Indie · Choices Matter · Story Rich

Slay the Princess — The Pristine Cut
Shared: Choices Matter · Visual Novel · Choose Your Own Adventure

Growing Up
Shared: Choices Matter · Multiple Endings · Adventure

To the Moon
Shared: Indie · Adventure · Story Rich

Roadwarden
Shared: Indie · Adventure · Choices Matter

Life is Strange: True Colors
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

Otaku's Adventure
Shared: Multiple Endings · Indie · Visual Novel

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

Until Dawn™
Shared: Choices Matter · Multiple Endings · Choose Your Own Adventure

The Stanley Parable
Shared: Indie · Multiple Endings · Adventure

The Hungry Lamb: Traveling in the Late Ming Dynasty
Shared: Multiple Endings · Visual Novel · Interactive Fiction

Coffee Talk
Shared: Visual Novel · Interactive Fiction · Choices Matter