::Thinks::
You know, that is a good one the majority of the Series that I have watched all contain some type of Monster or Giant Mecha/ Robot
The few that come to my mind, that do not match either are:
Trigun (maybe one or two of the Gung Ho Gun Members can qualify as a Mech but I think they are more intended as Cyborgs than Giant Mechs However it Does contain Kuro-Neko so that might Disqualify that)
Detective Conan
Samarai Champloo
Wolf's Rain (This Depends if you count Wolves as "Scarey/ cute Monsters" or not)
That is all that I can think of at this point (It has been a long day my brain is Drained)