Games like BAIA
Games like BAIA include Frostpunk, Frostpunk 2, Oxygen Not Included, RimWorld, and Manor Lords. We matched them by the tags players give BAIA on Steam (Simulation, City Builder, 2D, Post-apocalyptic, and Survival): closest matches first, and among equally close ones the better-known games.

Frostpunk
Shared: City Builder · Survival · Post-apocalyptic

Frostpunk 2
Shared: City Builder · Simulation · Survival

Oxygen Not Included
Shared: Survival · Base Building · 2D

RimWorld
Shared: Survival · Base Building · Simulation

Manor Lords
Shared: City Builder · Simulation · Strategy

Endzone - A World Apart
Shared: City Builder · Simulation · Survival

Infection Free Zone
Shared: City Builder · Post-apocalyptic · Base Building

Prison Architect
Shared: Simulation · City Builder · Base Building

Cities: Skylines
Shared: Simulation · City Builder · Management

Against the Storm
Shared: Simulation · City Builder · Strategy

This War of Mine
Shared: Survival · Simulation · Strategy

Workers & Resources: Soviet Republic
Shared: City Builder · Simulation · Strategy

The Wandering Village
Shared: Simulation · City Builder · Post-apocalyptic

Factorio
Shared: Base Building · Resource Management · Survival

Banished
Shared: City Builder · Simulation · Survival

Sheltered
Shared: Survival · Post-apocalyptic · Base Building

Kingdoms and Castles
Shared: City Builder · Simulation · Management

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

IXION
Shared: City Builder · Survival · Simulation

Surviving the Aftermath
Shared: Simulation · City Builder · Post-apocalyptic

Norland
Shared: Simulation · City Builder · Strategy

Foundation
Shared: Simulation · City Builder · Management

Cities: Skylines II
Shared: Simulation · City Builder · Management

Ostriv
Shared: City Builder · Simulation · Strategy