Anthony

Flickr is a great solution for managing your photos, but it can be a bit tough to show those photos on your site.
This plugin provides an easy method to display your Flickr sets & photos on your site. You can put custom CSS in your theme’s stylesheet to redefine the look and feel of your galleries.
You can also choose to not display ‘private’ photos on your site, or to not show certain albums.

Flickr Press

Use this plugin to display your Flickr photosets on your WordPress site.

Global

Fickree provides an editor button for simple flickr queries, but feel free to manually add short code attributes for more complex requirements (All flickr API method-specific arguments are available)
Control your own markup with mustache-based templating (Comes with 4 templates out of the box – attributed, caption, default and thick box).
Standardises: 
a) The properties available for each photo regardless of method used 
b) The arguments available for each query (including convenience arguments “size” and “display”)
Templates can include all of the data flickr returns for photos including:
id, owner, server, title, ispublic, description, dateupload, lastupdate, latitude, tags and many many more!
Queries can include any of flickr method attributes as arguments, (all extras are included by default) such as:
‘privacy_filter’, ‘text’, ‘min_upload_date’,’sort’, ‘safe_search’, ‘place_id’, ‘geo_context’ and many many more!

flickree

Easily get photos from flickr based on a photo, photoset or group ID, a gallery URL or a search text or tag.

Flickr Press vs flickree