My Mattituck TMX-IO360 (purchased 2007) came with a manual, logbook, and manuals for the installed accessories. You might want to check the package from them.
Thanks Larry for the source. I guess the closest thing to what I would call a maintenance manual is the Lycoming "Overhaul Manual" which you linked to. If there are any other good engine maintenance resources out there that people find they can't do without I sure would like to know what they are and how to obtain them.
Yes Guy I did receive an operators manual with the engine but this tells very little about how to maintain or repair the engine.
Jim, Although these manual's are for a Superior 360, Most of the information would be useful for any Lycoming style 360. http://www.superiorairparts.com/vantageManuals.asp
Hope this helps!
Good Luck,
Mahlon