artesea

Allows simple integration between your sidebar widgets and the official twitter widget 
** THIS WIDGET WILL STOP WORKING AFTER MAY 7TH 2013 ** 
This is when Twitter stop unauthenticated calls to their API, and block the old 
widgets. https://dev.twitter.com/blog/api-v1-retirement-final-dates 
This plugin won’t support the new Twitter Widget. 
For more information about them please visit: https://twitter.com/settings/widgets

(Un)offical Twitter Widget

Allows simple integration between your sidebar widgets and the official twitter widget ** THIS WIDGET WILL STOP WORKING AFTER MAY 7TH 2013 **

Curtiss Grymala

Adds an available widget to list various social media profiles. The following social media sites are included by default:
<ul>
<li>Facebook</li>
<li>Twitter</li>
<li>YouTube</li>
<li>LinkedIn</li>
<li>Google+</li>
<li>FriendFeed</li>
<li>Flickr</li>
</ul>
This plugin also includes a filter hook allowing you to extend the available services.
By default, this plugin outputs an unordered list (ul) with a class of <code>social-icons-list</code>. Each service is output as a list item (li) with the service name used as the HTML class attribute. Filters are available to allow you to change those HTML elements.

Social Icons Widget

A developer-friendly plugin that allows you to add a widget with links to various social media profiles.

(Un)offical Twitter Widget vs Social Icons Widget