Games like Bouncer Story
Games like Bouncer Story include Undertale, Yes, Your Grace, Volcano Princess, 鬼谷八荒 Tale of Immortal, and Stardew Valley. We matched them by the tags players give Bouncer Story on Steam (RPG, Management, Choices Matter, Multiple Endings, and Crime): closest matches first, and among equally close ones the better-known games.

Undertale
Shared: Choices Matter · Multiple Endings · RPG

Yes, Your Grace
Shared: Choices Matter · RPG · Management

Volcano Princess
Shared: Choices Matter · Multiple Endings · RPG

鬼谷八荒 Tale of Immortal
Shared: Management · RPG · Simulation

Stardew Valley
Shared: RPG · Life Sim · Simulation

Potion Craft: Alchemist Simulator
Shared: Management · Simulation · RPG

Graveyard Keeper
Shared: RPG · Management · Simulation

Crusader Kings III
Shared: RPG · Management · Simulation

Back to the Dawn
Shared: RPG · Choices Matter · Multiple Endings

Growing Up
Shared: Choices Matter · RPG · Life Sim

Legend of Mortal
Shared: RPG · Choices Matter · Multiple Endings

Magical Princess
Shared: RPG · Choices Matter · Multiple Endings

Papers, Please
Shared: Simulation · Multiple Endings · Indie

Punch Club
Shared: Management · RPG · Pixel Graphics

The Test
Shared: Multiple Endings · Simulation · Choices Matter

Princess Maker 2 Refine
Shared: RPG · Multiple Endings · Simulation

Travellers Rest
Shared: Management · RPG · Life Sim

911 Operator
Shared: Management · Simulation · Choices Matter

Mind Scanners
Shared: Management · Retro · Simulation

DAVE THE DIVER
Shared: Management · RPG · Pixel Graphics

Swag and Sorcery
Shared: RPG · Management · Pixel Graphics

Do Not Feed the Monkeys
Shared: Management · Choices Matter · Multiple Endings

Beat Cop
Shared: Retro · Crime · Simulation

Emily is Away Too
Shared: Choices Matter · Simulation · Multiple Endings