My first thought is that there are too many options, and the privacy option should really be a user-controllable setting to begin with.
Things that I plan to monitor when I have time to set it up include things like frequency of use, number of lists, number of items, maximum depths of lists. Whether it is an iPad or iPhone it is being used on, what the default language is, whether they are using the email features and what items they have purchased.
I will have a persistent ID for each Install so that I can track usage overtime and try to identify if people stop using the app but it won't tie directly to any person or even device that could be identied by any means outside the app.