Games like Three Days
Games like Three Days include The Escapists, Terraria, Core Keeper, Forager, and Kenshi. We matched them by the tags players give Three Days on Steam (Indie, Pixel Graphics, Crafting, Puzzle, and Arcade): closest matches first, and among equally close ones the better-known games.

The Escapists
Shared: Pixel Graphics · Crafting · Indie

Terraria
Shared: Pixel Graphics · Survival · Crafting

Core Keeper
Shared: Pixel Graphics · Survival · Crafting

Forager
Shared: Pixel Graphics · Indie · Crafting

Kenshi
Shared: Survival · Crafting · RPG

Rust
Shared: Crafting · Survival · Action

Necesse
Shared: Pixel Graphics · Crafting · Indie

Starbound
Shared: Crafting · Survival · Pixel Graphics

Don't Starve Together
Shared: Survival · Crafting · Indie

UFO 50
Shared: Indie · Pixel Graphics · Arcade

Stardew Valley
Shared: Pixel Graphics · Indie · Crafting

The Forest
Shared: Crafting · Survival · Action

Once Human
Shared: Survival · Crafting · Action

Graveyard Keeper
Shared: Pixel Graphics · Crafting · Indie

Don't Starve
Shared: Crafting · Indie · Survival

Palworld
Shared: Survival · Indie · Crafting

Stoneshard
Shared: Pixel Graphics · Survival · Strategy

The Long Dark
Shared: Survival · Crafting · Exploration

Conan Exiles Enhanced
Shared: Survival · Crafting · RPG

Last Oasis
Shared: Survival · Indie · Crafting

DYSMANTLE
Shared: Crafting · Survival · Indie

No Man's Sky
Shared: Survival · Exploration · Procedural Generation

Green Hell
Shared: Survival · Crafting · Action

Rain World
Shared: Indie · Pixel Graphics · Survival