Games like Odyssey Wars
Games like Odyssey Wars include Elite Dangerous, X4: Foundations, FTL: Faster Than Light, Stellaris, and Kerbal Space Program. We matched them by the tags players give Odyssey Wars on Steam (Strategy, Space Sim, Simulation, RTS, and Space): closest matches first, and among equally close ones the better-known games.

Elite Dangerous
Shared: Space Sim · Space · Simulation

X4: Foundations
Shared: Simulation · Space Sim · Space

FTL: Faster Than Light
Shared: Strategy · Space · Sci-fi

Stellaris
Shared: Strategy · Space · Sci-fi

Kerbal Space Program
Shared: Simulation · Space · Space Sim

STAR WARS™ Empire at War - Gold Pack
Shared: Strategy · RTS · Space

Cosmoteer: Starship Architect & Commander
Shared: Sci-fi · Strategy · Space

No Man's Sky
Shared: Space · Sci-fi · Exploration

Dyson Sphere Program
Shared: Space · Simulation · Sci-fi

Hardspace: Shipbreaker
Shared: Simulation · Space · Sci-fi

Starfield
Shared: Space · Sci-fi · Singleplayer

Starpoint Gemini Warlords
Shared: Strategy · Space · Simulation

STAR WARS™: Squadrons
Shared: Space · Flight · Simulation

Sins of a Solar Empire II
Shared: Strategy · Space · RTS

X Rebirth
Shared: Simulation · Space Sim · Space

Avorion
Shared: Space Sim · Space · Exploration

PULSAR: Lost Colony
Shared: Space Sim · Simulation · Space

Empyrion - Galactic Survival
Shared: Simulation · Space · Space Sim

EVE Online
Shared: Space Sim · Simulation · Space

X3: Terran Conflict
Shared: Simulation · Strategy · Space

Battlefleet Gothic: Armada 2
Shared: Strategy · Space · RTS

Spaceflight Simulator
Shared: Space Sim · Simulation · Space

Starpoint Gemini 2
Shared: Simulation · Space · Space Sim

House of the Dying Sun
Shared: Simulation · Space Sim · Space