Games like Lucky Island
Games like Lucky Island include Balatro, Luck be a Landlord, Cities: Skylines, Factorio, and Mini Motorways. We matched them by the tags players give Lucky Island on Steam (Strategy, Roguelike Deckbuilder, Building, Casual, and Resource Management): closest matches first, and among equally close ones the better-known games.

Balatro
Shared: Roguelike Deckbuilder · Strategy · Roguelike

Luck be a Landlord
Shared: Roguelike Deckbuilder · Strategy · Pixel Graphics

Cities: Skylines
Shared: Building · Strategy · Simulation

Factorio
Shared: Strategy · Resource Management · Automation

Mini Motorways
Shared: Strategy · Casual · Simulation

Cities: Skylines II
Shared: Building · Strategy · Simulation

Dyson Sphere Program
Shared: Building · Automation · Resource Management

Rusty's Retirement
Shared: Automation · Idler · Building

(the) Gnorp Apologue
Shared: Strategy · Building · Idler

Cookie Clicker
Shared: Casual · Pixel Graphics · Idler

Tavern Master
Shared: Building · Strategy · Resource Management

Captain of Industry
Shared: Strategy · Resource Management · Automation

Against the Storm
Shared: Strategy · Building · Simulation

Foundation
Shared: Strategy · Building · Simulation

Slay the Spire
Shared: Roguelike Deckbuilder · Strategy · Roguelike

RACCOIN: Coin Pusher Roguelike
Shared: Strategy · Roguelike Deckbuilder · Casual

Kingdoms and Castles
Shared: Strategy · Resource Management · Building

Shelldiver
Shared: Casual · Resource Management · Strategy

Slay the Spire 2
Shared: Strategy · Roguelike Deckbuilder · Roguelike

Stardew Valley
Shared: Pixel Graphics · Simulation · Building

Manor Lords
Shared: Strategy · Building · Simulation

Two Point Museum
Shared: Strategy · Building · Casual

Banished
Shared: Strategy · Simulation · Resource Management

Jurassic World Evolution
Shared: Building · Strategy · Simulation