Android. 2D game development

I've used AndEngine extensively and I really like it BUT

2D games - unless you have something really, really complicated in-mind (lots of physics and collision detection), I'd recommend you consider creating them in plain old HTML (HTML5, to be specific).

Why?

Because HTML5 works pretty-much everywhere and there are some really decent toolkits for making more complex stuff (including level editors and basic physics stuff).

Moreover, you can convert HTML5 into Apps for both Android, iOS and other platforms - e.g. your game will work pretty much everywhere with minimal extra effort. Using tools like Cordova(phonegap) even allows you to access things like cameras and tilt sensors in Apps created from your HTML5 code (Dolphin Browser on Android even allows those apps to run in the browser!)

If you do want fancier stuff, Corona is pretty decent and easy to learn and cross-platform too - and Andengine is great if you're happy to be stuck on Android!

I recommend LIBGDX

http://libgdx.badlogicgames.com/index.html

Open source, java, cross-platform, good support for Open-GL, lot's of examples and a good community.