Games like Running UP
Games like Running UP include Celeste, Hollow Knight, Hollow Knight: Silksong, A Story About My Uncle, and Getting Over It with Bennett Foddy. We matched them by the tags players give Running UP on Steam (Adventure, Platformer, Runner, Third Person, and Parkour): closest matches first, and among equally close ones the better-known games.

Celeste
Shared: Platformer · Precision Platformer · Indie

Hollow Knight
Shared: Platformer · Indie · Adventure

Hollow Knight: Silksong
Shared: Indie · Platformer · Adventure

A Story About My Uncle
Shared: Adventure · Parkour · Platformer

Getting Over It with Bennett Foddy
Shared: Singleplayer · Platformer · Difficult

Jump King
Shared: Adventure · Platformer · Indie

A Difficult Game About Climbing
Shared: Adventure · Platformer · Singleplayer

Cairn
Shared: Adventure · Indie · Singleplayer

Super Meat Boy
Shared: Platformer · Precision Platformer · Indie

The End Is Nigh
Shared: Platformer · Adventure · Indie

BEEP
Shared: Platformer · Adventure · Indie

Geometry Dash
Shared: Platformer · Difficult · Singleplayer

LIMBO
Shared: Platformer · Indie · Adventure

Prince of Persia®: The Sands of Time
Shared: Adventure · Platformer · Parkour

Get To Work
Shared: Adventure · Singleplayer · Third Person

Prince of Persia®
Shared: Adventure · Platformer · Parkour

Super Meat Boy Forever
Shared: Platformer · Indie · Runner

Tomb Raider Game of the Year
Shared: Adventure · Third Person · Singleplayer

Tiny and Big: Grandpas Leftovers
Shared: Platformer · Indie · Adventure

Rise of the Tomb Raider™
Shared: Adventure · Third Person · Singleplayer

ALTF4
Shared: Runner · Third Person · Platformer

Prince of Persia: The Forgotten Sands™
Shared: Adventure · Platformer · Third Person

Peaks of Yore
Shared: Adventure · Platformer · Physics

Chained Together
Shared: Adventure · Platformer · Third Person