Over the years, the only services that I've used are ImageShack and Photobucket; the former for one shots and the latter for more permanent storage. One of my best friends had opted into using Photobucket instead of IS, and quite naturally, I followed suite, although many years later... lol.
In parsing of Wikipedia, I noticed that the article noted a sequence of resource drops. Photobucket has dropped free accounts drastically, and without a functional digital camera, I simply don't generate enough image files to warrant a "Pro account", even if I had the financial resources for upgrading.
So I expect, in the near future to likely be moving on to something else in the future: and leave Photobucket as a relational memory. The only other services that I'm aware of, being Picasa and Flickr, which now have connections to Google and Yahoo!, respectively.
Flickr seems to offer the best content model in terms of resources, however other stuff indicated in their help/FAQ pages, I find rather discouraging for free accounts. So I seriously doubt that Flickr will replace my usage of Photobucket.
Picasa, integrates with Blogger which is nice, and would work well with purchasing extra data storage from Google. The down side however, is it is 'yet another' Google supported web system :-/. I have enough already, the only reason I've opted into Blogger for my exdous from LiveJournal, is it was LJs 'runner up', and I have little interest in revisiting that research. Blogger also serves my needs well enough, that I'm not amending that either.
When I had originally researched the 'whole blogging thing' back in mid 2006, it had included a study of services, ranging from Blogspot, LiveJournal, TypePad, Xenga, and others. LJ however won out at the time. It is also a known fact, that I would sooner stick me privates in madame guillotine, then use MySpace :-P.
Other sources that I have for storing images, include LiveJournals "Scrapbook" feature and a rather fascinating data model provided by the micro-blogging services I use; some of my friends ought to be able to guess what that is easily. While I maintain my journal (aka a blog) in public, the micro-blogging system I keep under much more private-levels. Any one may read my blog, but only those closer to me have access to the micro-blogging stream.
Since I'm shifting from Live Journal to Blogger, I don't feel it ethically appropriate to rely on LJs scrap book functionality. As to the micro-blogging solution, the main thing that concerns me is the measure of privacy afforded; one thing that always irked me about Photobucket is it's fairly poor privacy controls. Sharing links to images stored on Photobucket is not exactly a secure thing IMHO, and is one reason I rarely use it. My research (using help docs and friends albums) has lead me to conclude that links through the microblogging system do maintain a measure of privacy; abit at the cost of revealing the service used (acceptable enough). Some might find it odd that I prefer noting it as 'microblog' rather then by it's service name, but hey, it keeps every Tom, Dick, and Harry from trying to add me over there, and it's less public them my instant messengering details >_>.
In all probability, I'll probably end up using that system or picasa in place of Photobucket for future affairs; perhaps another service, if I find something of appropriate interest. Of course, if I had my own website, it would be a fairly moot point, but that is not in my financial near-future. SAS does give me a small bit of webspace, which I do use for occasional odds and ends, but my personal code of conduct forbade me from abusing it lol. And actually come to think of it, I should probably host my forum signature off the site: so changing my forum sig on SAS becomes an encrypted file transfer, rather then editing my profile.