Games like The Parenting Simulator
Games like The Parenting Simulator include Stardew Valley, Reigns, The Life and Suffering of Sir Brante, Chinese Parents, and Volcano Princess. We matched them by the tags players give The Parenting Simulator on Steam (Casual, Indie, Simulation, RPG, and Choose Your Own Adventure): closest matches first, and among equally close ones the better-known games.

Stardew Valley
Shared: RPG · Simulation · Life Sim

Reigns
Shared: Indie · Choices Matter · Choose Your Own Adventure

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

Chinese Parents
Shared: Casual · Simulation · Indie

Volcano Princess
Shared: RPG · Life Sim · Choices Matter

Emily is Away Too
Shared: Indie · Simulation · Casual

My Time at Portia
Shared: RPG · Casual · Simulation

Retirement Simulator
Shared: Simulation · Indie · RPG

Growing Up
Shared: Simulation · Choices Matter · Life Sim

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

Emily is Away <3
Shared: Simulation · Indie · Casual

Roadwarden
Shared: RPG · Indie · Text-Based

Monster Loves You!
Shared: Casual · Indie · Simulation

Suzerain
Shared: Choose Your Own Adventure · Choices Matter · Text-Based

Choice of Robots
Shared: Choose Your Own Adventure · Indie · Text-Based

Touhou Mystia's Izakaya
Shared: Casual · Simulation · RPG

Trolley Problem, Inc.
Shared: Indie · Casual · Choices Matter

Mountain
Shared: Indie · Casual · Simulation

The Test
Shared: Simulation · Choose Your Own Adventure · Choices Matter

Plebby Quest: The Crusades
Shared: Casual · Indie · RPG

Death and Taxes
Shared: Simulation · Choices Matter · Casual

Reigns: Her Majesty
Shared: Indie · Casual · Simulation

Potion Craft: Alchemist Simulator
Shared: Simulation · Indie · Casual

鬼谷八荒 Tale of Immortal
Shared: Simulation · RPG · Choose Your Own Adventure