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.

ezraverheijen

Timeline Twitter Feed let’s you output your timeline feed and multiple hashtags into your WordPress site as flat HTML. 
The output is customizable on nearly every aspect. With or without profile pictures, tweet date, usernames before tweets, hashtags and usernames as links etc. etc. 
CSS styling can be added/overwrited via your theme’s stylesheet or in the Timeline Twitter Feed settings screen. 
There is also a widget to easily add a Twitter feed to your header, sidebar or footer, if your theme supports it.
If you have any issues using Timeline Twitter Feed, find a bug or have an idea to make the plugin even better then please <a href="https://github.com/ezraverheijen/timeline-twitter-feed" rel="nofollow ugc">help to improve Timeline Twitter Feed</a>. 
If you don’t report it, I can’t fix it!

Timeline Twitter Feed

Output timeline feeds and multiple hashtags into your WordPress site as flat HTML.

DsgnWrks Twitter Importer vs Timeline Twitter Feed