Can I download a list of all apps I've PAID apple for?
Ok.  It can be done, but the way that I've discovered isn't easy.

I did try to get the info by intercepting iOS app store traffic but the data I got wasn't very clear.  Instead I intercepted traffic from an older version of iTunes that still has app store functionality in it.

Once you've fired up your fiddler (requires some setup to decode HTTPS traffic) or whatever intercepting proxy you're going to use, open the older version of iTunes you installed and navigate through the menu Account -> Purchased and then click Apps in the upper right-hand corner.



In your proxy monitor look for a request that starts with:

https://client-api.itunes.apple.com/WebObjects/MZStorePlatform.woa/wa/lookup?id=


There may be more than one of these requests, so make sure you grab the responses for all of them.  The response is issued in JSON format.  Luckily that JSON contains the data you're looking for...



Filtering JSON is beyond the scope of my answer right now.  It's getting late.  You might have an easier time using grep on some formatted JSON?  I'll see if I can give you the rest tomorrow.