Here is a list of all the Godzilla comics that are generally recommended to be worth reading.

Publisher:  Marvel,  Dark Horse,  IDW Publishing
Publication Date:  1977-Present
Genre:  Science Fiction,  Giant Monster
Creators:  Kevin Eastman,  Peter Laird

Black entries are ongoing series
Green entries are Limited series
Red entries are One-Shots
Blue is for comments

Reading List

Godzilla: King of the Monsters #1-24 (1977)

Godzilla: King of the Monsters Vol. 2 #0-16 (1995)

Dark Horse Classics: Terror of Godzilla #1-6 (1998)

Godzilla: Gangsters and Goliaths #1-5 (2011)

Godzilla: Legends #1-5 (2011)

Godzilla: The Half-Century War #1-5 (2012)

Godzilla: Cataclysm #1-5 (2014)