This is obviously a known Adobe issue.
What gives you that impression?
Do you get the message when trying to open files?
Are the files saved locally or across a network?
Could your disk be corrupted?
Please read this:
If it is in the forums (and actually, all over the place on the web) and it is a Photoshop issue in both Windows and Mac, I just assumed is.
The unexpected eof could be a hardware issue or possibly owed to individual set-ups as it is not an issue that plagues all (or even an ostensible majority of) users.
Are Photoshop and OS fully updated?
As with all unexplainable Photoshop-problems you might try trashing the prefs (after making sure all customized presets like Actions, Patterns, Brushes etc. have been saved and making a note of the Preferences you’ve changed) by pressing command-alt-shift on starting the program or starting from a new user-account.
System Maintenance (repairing permissions, purging PRAM, running cron-scripts, cleaning caches, etc.) might also be beneficial, Onyx has been recommended for such tasks.
Weeding out bad fonts never seems to be a bad idea, either. (Validate your fonts in Font Book and remove the bad ones.)
If 3rd party plug-ins are installed try disabling them to verify if one of those may be responsible for the problem.
Prefs already trashed. Maintenance performed last week (trying to fix this).
There are no fonts in the files. Could it still be a problem?
Will try Onyx and disabling plug-ins.
Will any of this save the corrupted files or are they history?
Was a time 15 years ago or more I could go in to the code (in Illustrator) and re-write some garbled code (which I found on the internet) and they would open.