To give an idea of the extent of this problem: according to this stackexchange.com search, over 8000 posts are affected. Some of them may contain images which are already lost (e.g. the last image in the Meta.SE post you found).
There are some options:
- Edit the post and upload the images via the Stack Exchange image uploader, which stores them on imgur.com. If you come across one of them, please do so. As you saw, my Broken Image Repairer script already does that automatically; it detects/chooses those posts because the images were embedded as HTTP links, which doesn't work anymore after the upgrade to HTTPS. The downside of this is that this bumps the post to the front page, which is why the script is rate limited to 3 posts per 36 hours (except on Stack Overflow, where it makes about 100 edits a day - Stack Overflow has a personalized front page where bumps are less visible).
- Add the links to the Wayback Machine, permanently archiving them. Incidentally, the Broken Image Repairer will try to restore images it can't access anymore via the Wayback Machine.
Thanks for catching this, I'll have a look if I can automate the process in the second bullet so that in any case, the images aren't lost. Immediately uploading them to Imgur but not editing the post isn't really useful since we'd need to maintain a mapping table somewhere.
Update: the script found 9904 TinyPic links (some of them have already been replaced meanwhile). There might be some duplicates among them but I expect not many. 998 were already archived in the past; 8118 links have been archived now (except that I don't think archiving video links really works, but I don't want to install Flash to test it out). 787 links are FUBAR and probably lost forever.
I've uploaded a CSV file with the results to GitHub, it includes the site and post where the links were found. WARNING: older images may have been replaced by newer, unrelated uploads to TinyPic, I wouldn't be surprised if there were some NSFW images among them.