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.
TweetDeck - TweetDeck is your personal browser for staying in touch with what’s happening now.
Twitterfall - Twitterfall is an excellent choice if you want something basic, free and without much branding.
HootSuite - Enhance your social media management with Hootsuite, the leading social media dashboard. Manage multiple networks and profiles and measure your campaign results.
Tweetdeckr - Tweetdeckr is an open source Tweetdeck replacement client.
Whalebird - Whalebird is a Mastodon client for desktop application.