When comparing Stencyl vs HaxePunk, the Slant community recommends Stencyl for most people. In the question“What are the best 2D game engines?” Stencyl is ranked 11th while HaxePunk is ranked 22nd. 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 Joystick and multi-touch support
Useful for mobile games and soon consoles (OpenFL has a console port in the works).

Pro Crossplatform testing/releasing
HaxePunk uses OpenFL which means you can compile to just about every device. A lot of the rendering code has been optimized so if you use HaxePunk’s graphic classes you are pretty much ready to deploy on any target.
Pro Generic entity system
A generic Entity system that only uses what you “attach” to it. If you need collision masks they are available but if an entity doesn’t need to collide with anything then simply don’t add a mask. Same goes for graphics.
Pro Written in Haxe instead of AS3
This comes with blazing fast compile times, proper static typing, multiple output targets, and a powerful macro system.
Pro Multiple collision masks
HaxePunk has added several collision masks beyond what FlashPunk had including a grid with slope values, circles, and polygons. This is in addition to FlashPunk’s tile grid and hitbox.
Pro Tweens
Tweens are available just like they are in FlashPunk. If you need to interpolate values for sounds, movement, etc… it’s probably already available as a tween. There is also a VarTween that lets you interpolate any value you want.
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 Messy / fragmented documentation
Not a lot of documentation is available.

Con Small comunity
It’s a small but growing community.
