Games like The Monarch
Games like The Monarch include Kingdom: New Lands, Oxygen Not Included, Drill Core, RimWorld, and They Are Billions. We matched them by the tags players give The Monarch on Steam (Tower Defense, Survival, Base Building, Exploration, and Roguelite): closest matches first, and among equally close ones the better-known games.

Kingdom: New Lands
Shared: Tower Defense · Survival · Base Building

Oxygen Not Included
Shared: Survival · Base Building · Colony Sim

Drill Core
Shared: Tower Defense · Roguelite · Exploration

RimWorld
Shared: Survival · Base Building · Colony Sim

They Are Billions
Shared: Base Building · Survival · Tower Defense

The Riftbreaker
Shared: Base Building · Tower Defense · Survival

7 Days to Die
Shared: Survival · Base Building · Exploration

Rise to Ruins
Shared: Tower Defense · Survival · Base Building

Kingdom Two Crowns
Shared: Tower Defense · Base Building · Medieval

The King is Watching
Shared: Tower Defense · Base Building · Roguelike

Until We Die
Shared: Survival · Base Building · Tower Defense

Going Medieval
Shared: Base Building · Survival · Colony Sim

Dwarf Fortress
Shared: Base Building · Colony Sim · Survival

Diplomacy is Not an Option
Shared: Base Building · Survival · Medieval

Space Haven
Shared: Survival · Base Building · Colony Sim

Cult of the Lamb
Shared: Base Building · Roguelite · Colony Sim

Wall World
Shared: Tower Defense · Roguelite · Exploration

Settlement Survival
Shared: Survival · Colony Sim · Exploration

Kenshi
Shared: Survival · Strategy RPG · Base Building

Rogue Tower
Shared: Tower Defense · Base Building · Roguelite

Banished
Shared: Survival · Colony Sim · Strategy

Stronghold Crusader: Definitive Edition
Shared: Real Time Tactics · Tower Defense · Colony Sim

Stronghold HD (2012)
Shared: Real Time Tactics · Tower Defense · Colony Sim

Kingdom Eighties
Shared: Exploration · Side Scroller · Tower Defense