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.

dustinscarberry

This plugin allows you to embed your own or others photosets and galleries directly into your WordPress site. This plugin was designed to create a cleaner and simpler interface, both in administration and the frontend of the site.
The only task that has to be completed to use this plugin is to get a API key from Flickr. Afterwards it is as simple as plugging in options to generate the widget or to create shortcodes that can be placed on any page or post within your wordpress site.
To create a shortcode first click ‘Create Shortcode’ and enter the various options for the photoset or gallery. Make sure to use the right ‘ID’ format (see FAQ’s) based on whether you are adding a photoset or gallery. Click ‘Save New Shortcode’ and then copy and paste the shortcode into where you want it to appear within your site. For the widget the instructions are the same except for the copy and pasting part, of course.
Features Include:
<ul>
<li>Hide or show title of photoset or gallery</li>
<li>Choose between small or medium thumbnails for shortcode embeds</li>
<li>Cache photo data to prevent Flickr API calls each time a page is generated</li>
<li>Random or from the top photo thumbnail selection</li>
<li>Link photos to either Flickr or a lightbox (Magnific Popup plugin included, if needed)</li>
<li>Choose to hide photo captions or not</li>
<li>Set photoset / gallery alignment to either left, right, or center</li>
<li>Set color of photo highlights</li>
</ul>

Flickr-stream

This plugin allows you to include photosets and galleries from Flickr in your WordPress site, either embedded in a page or post, or as a sidebar widge …

oEmbed FlickrLinkr vs Flickr-stream