When comparing Stencyl vs Urho3D, the Slant community recommends Stencyl for most people. In the question“What are the best 2D game engines?” Stencyl is ranked 11th while Urho3D is ranked 61st. The most important reason people chose Stencyl is:
Power users can also write code in Haxe (similar to Actionscript 3) to create their own custom classes and extend the engine.
Specs
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Pros

Pro Haxe scripting available for advanced users
Power users can also write code in Haxe (similar to Actionscript 3) to create their own custom classes and extend the engine.

Pro No coding required, great drag & drop interface
Visual scripting in Stencyl is based on the MIT Scratch project, which was designed to teach programming. Script elements fit together like puzzle pieces, ensuring that data and function types cannot be mismatched.
Pro Cross-Platform
Publish iOS, Android, Flash, Windows and Mac games without code.
Pro It's a NO-CODE Program, you can add logic without code
Pro The original concept for Ghost Song was created using Stencyl
The original concept for Ghost Song was created using Stencyl 3.x
Pro Great performance on every platform
Stencyl exports your games to native code so they have great performance on every platform.

Pro Free and fully open source
The entire engine is open source and makes use of other open source libraries. Source code is licensed under MIT and available on GitHub.
Pro Good documentation
The documentation for Urho3D can be split in two parts: auto-generated from class references and documentation written to cover the various aspects, features and systems of the engine. The written documentation is pretty good. It covers most of the aspects of the engine in clear and understandable English.
Pro Includes a lot of samples
There are a lot of sample projects included with the engine for both C++ and Angelscript. They are mostly very simple applications built to demonstrate the engines capabilities and features.
Pro Fat-free codebase
Only use what you need.
Pro Small turnaround times while developing
Builds are quite fast, aids in rapid development.
Pro Very high code quality
Urho3D is written in a modular and super-clean way, so that it can be integrated into the other parts of your game seamlessly.
Pro Good 3D level editor
Pro In constant active development
Bugs are usually fixed that same day. Core devs are very active on forums. New features are always being worked on. HTML5, DirectX11, and OpenGL3.1 support have recently been added (as of 4/15/15).
Pro Does not require an editor to get going
Pro Flexible rendering pipeline
You can configure rendering pipeline.
Pro Multi-Lights
There are no lights limits per mesh.
Pro Unofficial Oculus Rift support
Information on enabling OR support can be found here.
Cons
Con Not a powerful engine
Should be used for basic games only.

Con Only available via subscription
There should be an option to buy it outright, especially considering it is written by a one man team....this is not exactly an Adobe level enterprise with shareholders, so there is no excuse!
Con Slow release cycle
Con Updated
It needs much to improve for mobile games, it was left in the era of Flash games. In Android you can not even put the native keyboard, you can not access things like native camera, GPS or native text input.
Con Tile system is somewhat inflexible
Con It has been stopped developing
The owner has moved to build new 3D engine, however, that is also experimental stage, not for production.
Con Little documentation and small community
There are some high-level design docs and a bunch of examples, but code is poorly commented and nothing much more can be found.
Con The UI can be hard on the eyes
Urho3D's UI could cause eye strain.
Con There is no support for reflections
Neither SSR nor cubemap parallax correction are implemented in engine.
Con Bad Android support
You can not compile this engine using latest Android Studio.
Con May be a bit hard to get started
To install Urho3D you need to get the archive from GitHub (be careful to download the master branch) and extract it. After that, you need to compile the engine with CMake. If all the dependencies are installed, then it should be a straightforward process, otherwise you will need to track down and install all the missing dependencies.
For people who don't have much experience with CMake this whole process may seem a bit like magic. For people who do have experience with CMake, the whole installation will be relatively easy.
