Clickteam Fusion :: Excellent for 2D and with plugins, 3D Game Design
Unity 3D :: A Great all-around 3D Game Design program.
Uses many languages you may already know.
Unreal Engine 4 :: Epic Megagames, makes of Unreal Tournament, gives you their tools
Blender :: Free & Open Source 3D Creation Suite.
Much like 3D Studio Max and Maya, and compatible with many expensive alternatives.
Top 10 Game Design Software Programs: Getting Started On That Long Term Project
Frostbite Engine by EA. The tech behind games like Mass Effect and Battlefield.
23 Noteworthy Engines Some have been listed already.