The Kaijū Collection

Kaijū eiga (often shortened to kaijū in the West) is a Japanese term for what are essentially giant monster movies. More often than not it’s an actor in a rubber suit laying waste to amazingly detailed scale model towns, but the best have an important subtext that explores deeper concerns.
The most famous is Toho’s Gojira/Godzilla, affectionately called King of the Monsters, but there’s more than just Godzilla in the pantheon, so if you're interested in the merits of the genre don't stop there:

Genre Films on In a Nutshell:
01. Godzilla (1954—)
02. Rodan (1956—)
03. Mothra ((1961—)
04. Gamera (1965—)
05. Daimajin I, Daimajin II, Daimajin III (1966)
06. The X from Outer Space (1967)
07. Daigoro vs. Goliath (1971)
08. Attack of the Super Monsters (1982)

Films influenced by the genre on In a Nutshell:
01. The Host (2006)
02. Cloverfield (2008)
03. Pacific Rim (2013)

TV Series on Nut Box:
01. Daimajin Kanon (2010)

Comics on Nut Ink:
01. Godzilla