isaacwedin

oEmbed is a convenient way to add a variety of external content to WordPress posts and pages. By default WordPress only insert the image for Flickr oEmbeds, without a link back to the photo page or any other information. This plugin uses the oEmbed output that WordPress already collects, linking the Flickr image using the supplied URL and adding a caption with title and author if desired.
<h3>Configuration</h3>
By default the plugin inserts standard captioned photos, with the photo title and author below the photo. This includes a snippet of inline style, which some people don’t like.
To configure the captions, go to Settings:oEmbed FlickrLinkr.
The Standard caption option displays the oEmbedded Flickr photo just like a standard WordPress captioned image, using exactly the same CSS classes and inline style. The Simple caption option just gets rid of the inline style and wp-caption classes from the inserted code. You can also remove the caption entirely, just leaving a linked photo. Note that just linking may not satisfy the attribution requirements of some photo licenses.
For Standard and Simple captions you can specify a class for the container div.
You can specify a class for the image itself, useful if you want to add a border, padding, etc.
Updating your settings clears the oEmbed cache, so all of your existing Flickr oEmbeds will change to the new setting.

oEmbed FlickrLinkr

This plugin links oEmbedded Flickr photos to their photo page at Flickr, optionally adding a caption with the photo title and author.

Phil Ewels

This plugin creates a Widget to display a customised <a href="http://www.flickr.com/badge.gne" rel="nofollow ugc">flickr badge</a> on your WordPress site
You can specify:
<ul>
<li>Title</li>
<li>Number of photos to display</li>
<li>How to sort photos (Random or Latest)</li>
<li>Photo size</li>
</ul>
You can get public photos from either a flickr user, a flickr group or from the whole of flickr. Photos can also be filtered for a tag, or a user Set ID.
For more information, please visit the plugin page: http://www.tallphil.co.uk/flickr-badge/ 
You can also see the flickr page for the badge that this Widget embeds: (http://www.flickr.com/badge.gne)

Flickr Badge

This plugin creates a Widget to display a customised flickr badge on your WordPress site

oEmbed FlickrLinkr vs Flickr Badge