If like me, your only reason to have a Yahoo! is the use of Flickr, why not follow the movement of the two founders of the most famous photo-sharing: Stewart Butterfield and Fake Chatahrina: Leave Flickr & and look what happens elsewhere in the sharing of photos ...

Photobucket offers free 1GB space to store your photos maximum size 1024 × 768px but also your videos for a period of 5 minutes.
Upload files directly from your computer, or a URL, by mail and by phone.
Photobucket includes editing of images with bulk rotation, scaling, contrast, brightness, but also some filters to play around with your photos.
With Photobucket you are given the opportunity to create slideshow and "remix" or of the music and customize your album.

Webshots allows you to share your photos. Jpg. Png. Gif and video format MPEG, ASF, MP4 ... not much information except that the storage capacity is expressed in quantity and not by weight of files so one can store 1000 photos and 100 videos: surprise if your upload stops. However, Webshots offers a desktop application to facilitate the work.
Like Photobucket, it is possible to create slideshows more oriented storage that photo compared to Photobucket, Webshots remains a good alternative to Flickr.

You are a fan of twitter but also photography?
Zooomr has a direction very web 2.0 as focused on the microblogging like a Twitxr, Zooomr is the tool you need and with unlimited storage space.

Not to mention:
Picasa
Zorpia
Clickfriends
Snappages
Photorgy
Mostrips
DPhoto
DigitalRailroad
ContakMe

That said I do not delete my Flickr account because it has an edge over its competitors, I am only listing a few alternatives to Flickr if you have any favorites that I (and probably deliberately) forgotten n do not hesitate to put them in the comments below.