Games like Don't Go Up There
Games like Don't Go Up There include Hylics, The Beginner's Guide, The Witcher 3: Wild Hunt — Remastered, Sanfu, and Firewatch. We matched them by the tags players give Don't Go Up There on Steam (Surreal, Adventure, Psychedelic, Abstract, and Hand-drawn): closest matches first, and among equally close ones the better-known games.

Hylics
Shared: Surreal · Psychedelic · Abstract

The Beginner's Guide
Shared: Walking Simulator · Adventure · Abstract

The Witcher 3: Wild Hunt — Remastered
Shared: Adventure · RPG · Atmospheric

Sanfu
Shared: Adventure · RPG · Hand-drawn

Firewatch
Shared: Adventure · Walking Simulator · Atmospheric

GRIS
Shared: Adventure · Hand-drawn · Atmospheric

OMORI
Shared: RPG · Hand-drawn · Adventure

NaissanceE
Shared: Abstract · Adventure · Surreal

Lost in Play
Shared: Surreal · Hand-drawn · 2D

Hylics 2
Shared: Surreal · Psychedelic · Adventure

Finding Paradise
Shared: Adventure · RPG · Story Rich

INDIKA
Shared: Surreal · Psychedelic · Adventure

Anthology Of The Killer
Shared: Surreal · Psychedelic · Hand-drawn

Before Your Eyes
Shared: Adventure · Walking Simulator · Interactive Fiction

Creaks
Shared: Surreal · Hand-drawn · Atmospheric

Layers of Fear (2016)
Shared: Walking Simulator · Adventure · Psychedelic

The Endless Empty
Shared: Adventure · Surreal · Psychedelic

Eclipsium
Shared: Surreal · Psychedelic · Walking Simulator

Lucid Blocks
Shared: Surreal · Psychedelic · Atmospheric

Machinarium
Shared: Hand-drawn · Adventure · Surreal

Antichamber
Shared: Surreal · Abstract · Adventure

A Bird Story
Shared: Adventure · Interactive Fiction · RPG

Child of Light
Shared: RPG · Adventure · Hand-drawn

Skate Story
Shared: Adventure · Surreal · RPG