First off, the technique is called suitmation.super sentai monster style is where crew members wear the giant monster suits and they have the fight scenes in the minature cities towns villages fields etc while at the same time have like kids toys as the vehicles
Second, the technique was pioneered by the team of Eiji Tsuburaya on the Toho kaiju films. I don't think it's your intention, but it comes off a little disrespectful to call it "Super Sentai monster style" to describe the effects in Godzilla movies.
Third, suitmation has been used by filmmakers all over the world. Even the 1976 King Kong remake and its sequel largely used the technique. It is true that it has more of a tradition in Japan and is used there to this day, it is not unique to Japan.
Finally, while the Godzilla movies don't use suitmation anymore, Toho has been producing Godzilla short films showcasing the technique for their annual Godzilla Day celebration, which you can find online and even linked further back in the thread.