Going back and changing the past never really worked.
Those doing that are called revisionists, and are generally vilified as whacked out nazis, which they generally are.
And those who have tried time travel know that rule number one, is don't change anything, because it can completely mess up the present (past future).
Besides that, once you send something out on the internet, it is FOREVER, no matter what the law says. A picture, an article, a saying, a clip - it could go out to millions of users, and many of those again likely to hoard information. Storage density and capacity is increasing exponentially, much faster than the population, so less and less will be thrown away. I am sure some folks will not only keep track of where they have browsed but also store all content they have ever accessed. If it taken down from public web sites, it will live on in underground web sites, it will circulate in chain emails, people will talk about it. If you are lucky, the story, film clip or picture was of so little interest, that only someone explicitly looking for it, such as a future employer would ever go looking for it. If these cases go though court, when for example an internet provider refuses to comply with the request, you can be assured that there will also be a small cottage industry of folks that aggressively collect exactly the kind of information you want to hide, trolling court records for targets. They will resell to private detectives, potential employers doing background checks etc. So in effect, trying to erase the info will have the opposite effect, the info will be marked as valuable, and indexed and made available to nobody, except exactly the people you wanted to hide it from. You would have been better off hoping for th e company storing the content to go bankrupt one day, or discontinuing the picture hosting service.