3 of 9Image
Twitter apps are a dime a dozen but good ones not as easy to find. Plume (formerly Touiteur) has been optimzed for Honeycomb and is a joy to use. It rivals desktop Twitter clients in the way it displays multiple columns of the user's choosing, and packs in great touch optimization to round out the offering. There is both an ad-supported version that is free and a premium version.
I follow thousands of RSS feeds and having a good reader is a must. Newsr syncs with Google Reader and presents feeds and article headlines in a 3-pane view that makes spinning through many items a breeze. It is full featured and handles everything in Google Reader with the benefits of touch controls. Free.
You don't normally think of mind mapping when you think of tablets but Thinking Space Pro bucks that trend. This app brings full mind mapping capability to the Honeycomb tablet in a manner that is easy and even fun to use. Topics are easily created by hand and can be moved around the screen at will to organize the map just as desired. There is a limited free version and a paid version available.