TweetDeck - TweetDeck is your personal browser for staying in touch with what’s happening now.
HootSuite - Enhance your social media management with Hootsuite, the leading social media dashboard. Manage multiple networks and profiles and measure your campaign results.
Twitterfall - Twitterfall is an excellent choice if you want something basic, free and without much branding.
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.
Fenice - Read writing from Fenice for Windows on Medium. Fenice (fka Project Blue Dog) is a full-featured Twitter app for Windows designed to offer the best Twitter experience to every user (pro or casual ones).
SproutSocial - Sprout Social is a social media management tool created to help businesses find new customers & grow their social media presence. Try it for free.