I've seen a lot of examples of how to parse/read an RSS feed on Android into a ListView. Unfortunately, although the basics are there, a majority of these examples are either inefficient or badly coded/documented.
So, here is an example application which should teach you how to work with RSS feeds on Android. In the interest of helping, I've commented literally everything relevant to understanding what exactly is going on (it is a demo, after all).
It doesn't include anything flashy, but it's fairly simple to change to allow a user to input their desired feed, and to make it look better.
You can find the example application on Google Play, in case you want to try it out first.
This code is protected via the default GitHub copyright license such that:
Code without an explicit license is protected by copyright and is by default All Rights Reserved. The person or people who wrote the code are protected as such. Any time you're using software you didn't write, licensing should be considered and abided.
However, I am hereby granting access to reuse this code for both private and public use, although only if sufficient credit is given alongside any published works. Any reuse without explicit credit shall be considered copyright.
Feel free to contact me if you need any help furthering/understanding the code.