Last Updated: Sep 26,2010
I've been using OurGroceries and it's fantastic, IMO. You can find it, for free, at: OurGroceries v1.3.1 Application for Android | Shopping
It also has a web interface, so you can use it from your PC as well.
For ToDo Lists, there are many options, such as Astrid and RememberTheMilk. I use gTasks (free in the Market) which syncs with Google Tasks.
In addition to jimdroid's excellent suggestions, it might be worth thinking about compiling your own files (rather than via an app) and syncing them using Dropbox.
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