Software to find recurring patterns in files?

OK, a bit of an obscure question here.

I'm looking for a piece of software that allows me to sift through files, analyze the raw contents (as hexadecimal the way a hex editor would see them, for example), and find anything that looks like a pattern that recurs throughout the file and also in at least one of the other files.

Example of what the files look like in a hex editor:


Any help is appreciated

Also, I would prefer any software to be available for PowerPC Macs, as my main computer is a G5.

<3