Justin Sternberg

In the spirit of WordPress and “owning your data,” this plugin will allow you to import and backup your tweets to your WordPress site. Includes robust options to allow you to control the imported posts formatting including built-in support for WordPress custom post-types, custom taxonomies, post-formats. Add an unlimited number of user accounts for backup and importing.
Plugin is built with developers in mind and has many filters to manipulate the imported posts.
1.1.0: Updated to work with the Twitter 1.1 API. Uses the <a href="https://github.com/jtsternberg/TwitterWP" rel="nofollow ugc">TwitterWP</a> library.
Like this plugin? Checkout the <a href="http://j.ustin.co/QbG3mQ" rel="nofollow ugc">DsgnWrks Instagram Importer</a>. Feel free to <a href="http://j.ustin.co/QbQQ0a" rel="nofollow ugc">fork this plugin on github</a>.

DsgnWrks Twitter Importer

Backup your tweets & display your twitter archive. Supports importing to custom post-types & adding custom taxonomies.

Jason

For all you fellow tweeple, this is the plugin for you. Sure, there are tons of Twitter WordPress plugins already out there, but Tweeple gives you a more <a href="http://themeblvd.com" rel="nofollow ugc">ThemeBlvd</a>-ish approach to things.
Note: This plugin does NOT require a theme with Theme Blvd framework. This is a plugin for all tweeple!
<h4>How it works</h4>
Authentication: After setting up your credentials with Twitter API — <a href="https://wordpress.org/plugins/tweeple/faq/" rel="ugc">see FAQ</a> — you can utilize Tweeple to pull from Twitter API for your WordPress website.
Twitter Feeds: You can setup as many Twitter Feeds on your site as you want, and manage them all from one location at WP Admin > Tools > Tweeple. A Twitter feed can be configured to pull a Twitter user’s public timeline, public list, favorite tweets, or a custom search term, phrase, or hashtag.
Implementation: You can display any of your Twitter feeds on your website via the “Tweeple Twitter Feed” widget or the <code>[tweeple_feed]</code> shortcode. — <a href="https://wordpress.org/plugins/tweeple/installation/" rel="ugc">See Usage Instructions</a>.
<h4>Contributing</h4>
Tweeple is a free plugin for everyone. If you find bugs, or have suggestions, please don’t hesitate to post in our official Tweeple repo on Github.
<a href="https://github.com/themeblvd/Tweeple" rel="nofollow ugc">https://github.com/themeblvd/Tweeple</a>
<h4>A note to Theme Blvd customers</h4>
If you’re currently using a Theme Blvd theme, you probably noticed that the Theme Blvd Twitter widget included no longer works, as of June 2013, because of changes to Twitter’s API system. We apologize for this inconvenience.
If you’d like to keep our Twitter functionality, you’ll want to use this plugin as a replacement. Using this plugin’s “Tweeple Twitter Feed” widget with your current Theme Blvd theme should give you an almost identical result on the frontend of your website as the old widget gave you.
Note: As future theme updates come out, you will see that we’ve moved much of the theme’s functionality like <a href="https://wordpress.org/plugins/theme-blvd-layout-builder/" rel="ugc">custom layouts</a>, <a href="https://wordpress.org/plugins/theme-blvd-sliders/" rel="ugc">sliders</a>, <a href="https://wordpress.org/plugins/theme-blvd-shortcodes/" rel="ugc">shortcodes</a>, <a href="https://wordpress.org/plugins/theme-blvd-widget-pack/" rel="ugc">widgets</a>, etc, to plugins, and the Twitter functionality is no different. So Tweeple will hopefully be your answer, moving forward, as we roll things along.
<h4>Credits</h4>
<ul>
<li><a href="https://github.com/themattharris/tmhOAuth" rel="nofollow ugc">tmhOAuth</a>, An OAuth 1.0A library written in PHP. By <a href="https://twitter.com/themattharris" rel="nofollow ugc">Matt Harris</a>.</li>
</ul>

Tweeple

Setup Twitter feeds to pull a user's public timeline, public list, favorite tweets, or a custom search term, phrase, or hashtag.

DsgnWrks Twitter Importer vs Tweeple