For 3D games I can recommend UDK 3 (Unreal Development Kit 3). It's based on the Unreal 3 engine. It's very user friendly, it has all what you need, there are excellent tutorials and you can compile your game or animation for all platforms. Above all it's free. As with Construct 2 you don't need to learn how to code to make games. You do need to know however how 3D games work, but that's something you'll learn on the fly with the official tutorials in which you make a simple single player FPS level that has all the bells and whistles like light effects, sound, AI, cut scenes, interactive objects and so on.
Note: UDK 3 is free, UDK 4 is not.
PS, I discovered Construct 2 this morning and I really like it. It reminds me of the Amos Professional days on the Amiga1200, long ago. A big thank you to the developers.
edit: link was obviously removed, it's UDN-Epicgames-com