Aaron D. Campbell

A widget that properly handles twitter feeds, including parsing @username, #hashtag, and URLs into links. It supports displaying profiles images, and even lets you control whether to display the time and date of a tweet or how log ago it happened (about 5 hours ago, etc).
<a href="http://aarondcampbell.com/wordpress-plugin/twitter-widget-pro/" rel="nofollow ugc">Twitter Widget Pro</a>

Twitter Widget Pro

A widget that properly handles twitter feeds, including parsing @username, #hashtags, and URLs into links.

August Infotech

<blockquote>
We provide advance level of support for installation and customization at $10/hour.
<a href="http://www.augustinfotech.com/contact-us/" rel="nofollow ugc">Click here</a> for more information
</blockquote>
Features: As traditional version of twitter API is no longer working now, this plugin provides facility to display twitter tweets on your website using Twitter 1.1 API with authentication.
PLEASE DO NOT USE OLDER VERSIONS.All older version do not meet requirements at below link policy hence removed. We will not provide support for older versions (1.0, 1.1, 1.2 & 1.3).
Visit website: [For Developer Display Requirements Policy] https://dev.twitter.com/terms/display-requirements. Embed timelines using only username or Hashtags/keywords.
<ul>
<li>Using Twitter 1.1 API with authentication in Admin.</li>
<li>No JavaScript embedded.</li>
<li>You can manage tweets limits, twitter profile image,date, retweet link, reply link, favourite link and username from admin panel.</li>
<li>Admin side display tweets in Dashboard.</li>
<li>Admin side Manage Show “Follow @username” links.</li>
<li>Multiple times you can use Twitter widget & shortcode.* NEW Developed as per Twitter API 1.1 developer display requirements policy.Plugin Develop by August Infotech <a href="http://www.augustinfotech.com" rel="nofollow ugc">Visit website</a></li>
</ul>

AI Twitter Feeds (Twitter widget & shortcode)

As per twitter API 1.1 developer display requirements policy new version is updated. PLEASE DO NOT USE OLDER VERSIONS.

Twitter Widget Pro vs AI Twitter Feeds (Twitter widget & shortcode)