So, is nobody working with AIR and SQLite?
as3corelib can be beneficial for an AIR application. It contains a package (com.adobe.air) specifically for AIR which contains cryptographic hash functions.
Here is an article on encrypting an AIR database that mentions as3corelib.
There are probably other AIR projects on Github.com that you may find useful; it depends on what you are trying to accomplish.
There are two libraries that I find essential in working with the SQLite database in AIR. The first is flexorm. Flexorm is an object relational mapping library that is easy to get setup and running. You can find information and download from RIAForge. David Tucker has a great example on getting flexorm up and running. The second is the air-sqlite library. This library uses a sqlRunner class to execute your SQL statements. I find this method to be more intuitive than the built in API or flexorm.
Lastly, I would also recommend checking out Robotlegs. While not essential for using the SQLite database, the MVCS patterns in Robotlegs, for me, makes using all of these features together more bearable.