Tweetbot - Sync your timeline across your iPhone, iPad, and Mac. Mute tweets by user, hashtag, tweet source, or keywords (including regex). 3rd Party support for image, video, read later, and timeline sync services.
News API - Get live headlines from a range of news sources
Twitterrific - Twitterific is an app that offers several functions and fun features for your Twitter account.
The News 2 - Product Hunt + Hacker News + Designer News
Fenix for Twitter - A fresh Twitter experience, for Android
Unfiltered.news - What the world is talking about, visualized graphically