Games like CivIdle
Games like CivIdle include Manor Lords, Against the Storm, Farthest Frontier, Dyson Sphere Program, and Factorio. We matched them by the tags players give CivIdle on Steam (Idler, Base Building, Automation, Historical, and 4X): closest matches first, and among equally close ones the better-known games.

Manor Lords
Shared: Base Building · Historical · City Builder

Against the Storm
Shared: Base Building · Strategy · City Builder

Farthest Frontier
Shared: Resource Management · City Builder · Historical

Dyson Sphere Program
Shared: Automation · Base Building · Resource Management

Factorio
Shared: Base Building · Automation · Resource Management

Workers & Resources: Soviet Republic
Shared: Base Building · Historical · City Builder

Captain of Industry
Shared: Automation · Base Building · Resource Management

Kingdoms and Castles
Shared: Management · Resource Management · City Builder

Empires of the Undergrowth
Shared: Base Building · Strategy · City Builder

Norland
Shared: Base Building · Management · Strategy

Sid Meier’s Civilization® VI
Shared: Historical · Strategy · 4X

Ostriv
Shared: Historical · Base Building · City Builder

Foundation
Shared: City Builder · Medieval · Management

Age of Empires II (Retired)
Shared: Base Building · Historical · Medieval

Microcivilization
Shared: Base Building · Historical · 4X

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

Tavern Master
Shared: Management · Resource Management · Medieval

shapez
Shared: Base Building · Automation · Resource Management

Frostpunk
Shared: Resource Management · City Builder · Base Building

Prison Architect
Shared: Base Building · Management · Strategy

Shop Titans
Shared: Idler · Base Building · Management

Cataclismo
Shared: Base Building · Management · Historical

Rise of Industry
Shared: Management · Base Building · Resource Management

Satisfactory
Shared: Base Building · Automation · Resource Management