There’s a Linux tool called cmp that compares two files byte for byte. On my distro it’s part of the diffutils package which is required and installed by default.

Its better known sibling is diff which is used for finding differences between source code files, or any other text files for that matter.

You could build something fairly quickly that wrapped cmp and a list of files.

Alternatively you could look for a duplicate file detector, but then, those generally only pick up on the duplicates and won’t show non-matching files. You’d be blind to the changed ones unless you already knew where they were supposed to be.

Also be aware that on modern filesystems, there’s such a thing as a hard link where two or more filenames can point at the same data on the disk. Those two files will always compare as being the same because they literally are the same. And some filesystems can automatically de-duplicate by creating hard links between anything it detects as being identical.

You might be able to leverage that as well, depending on what you need.

Finally, many files have various dates and times associated with them, again depending on file system. The Linux stat command is aware of four of these: File birth (original creation), last access, last modification and last status change. Some or all of these may be combined depending on the underlying filesystem.