Games like Monarchy
Games like Monarchy include Mindustry, Factorio, Oxygen Not Included, Satisfactory, and Kingdom: New Lands. We matched them by the tags players give Monarchy on Steam (Strategy, Exploration, Base Building, Roguelike, and Resource Management): closest matches first, and among equally close ones the better-known games.

Mindustry
Shared: Base Building · Strategy · Resource Management

Factorio
Shared: Base Building · Strategy · Resource Management

Oxygen Not Included
Shared: Base Building · Resource Management · Strategy

Satisfactory
Shared: Base Building · Exploration · Resource Management

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

Tower Dominion
Shared: Strategy · Base Building · Roguelike

Drill Core
Shared: Strategy · Exploration · Tower Defense

The King is Watching
Shared: Base Building · Roguelike · Strategy

Age of Empires II (Retired)
Shared: Strategy · Base Building · Resource Management

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

The Riftbreaker
Shared: Base Building · Exploration · Tower Defense

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

Rogue Tower
Shared: Strategy · Roguelike · Tower Defense

Kingdom Eighties
Shared: Exploration · Side Scroller · Strategy

Prison Architect
Shared: Base Building · Strategy · Building

Bloons TD 6
Shared: Strategy · Tower Defense · Co-op

Wall World
Shared: Strategy · Roguelike · Exploration

Kingdom Rush 5: Alliance TD
Shared: Strategy · Tower Defense · 2D

Dome Keeper
Shared: Roguelike · Resource Management · Tower Defense

Thronefall
Shared: Strategy · Tower Defense · Base Building

Age of Empires III: Definitive Edition
Shared: Strategy · Base Building · Resource Management

Frostpunk
Shared: Strategy · Resource Management · Base Building

IXION
Shared: Strategy · Resource Management · Base Building

Grim Nights
Shared: Strategy · Base Building · Tower Defense