Just gathering some links together in one place for Corona and Lua which is a fairly new and improving way to develop apps and games for multiple mobile platforms. There is more than a bit of an Actionscript feel to the Lua code too and you can get up and running to try it out with just the Corona trial Emulator and any text editor. There is an intro for Actionscript Developers here and some interesting libraries like middleclass which aims to bring a more OOP approach to Lua and classes like the Director Class to help separate code into scenes and something called CrawlSpaceLib is on the horizon so there is plenty to play with.

Definitely worth a try out and I will update with some more links and some examples soon.

–UPDATE

There is a series of video tutorials here

The Corona SDK Emulator requires a main.lua. One technique I have found useful during testing is to just require in the code that you want to compile rather than rewrite main.lua:
–main.lua
local App = require(‘main4′) — include main4.lua
–end