Banshee 3D is described as 'Variety of tools and systems'. There are more than 10 games similar to Banshee 3D for a variety of platforms, including Windows, Linux, Mac, Xbox and Online / Web-based. The best alternative is Godot Engine, which is both free and Open Source. Other Banshee 3D like games are Unity (Free Personal), Unreal Engine (Free), CRYENGINE (Free Personal) and Torque 3D (Free, Open Source).
Godot is a fully featured, open source, MIT licensed game engine. It focuses on having great tools, and a visual oriented workflow that can export to PC, Mobile and Web platforms. It is a cross-platform 2D and 3D game engine and game development IDE.
Unreal Engine is a professional suite of tools and technologies used for building high-quality games across a range of platforms. Unreal Engine’s rendering architecture enables developers to achieve stunning visuals and also scale elegantly to lower-end systems.
Stride (formerly Xenko) is an open-source C# game engine designed for the future of gaming. It comes with a full toolchain and is especially well suited to create realistic games but allows you much more!.