You may be looking for Godzilla: King of the Monsters!, the 1956 Americanized adaptation of Godzilla.
Spoilers from Godzilla and Kong: Skull Island will be unmarked. You Have Been Warned
Godzilla: King of the Monsters is a Kaiju Action Adventure film by Legendary Pictures and Warner Bros. It is the sequel to Godzilla (2014) and Kong: Skull Island and is the third film in the MonsterVerse. Written and directed by Michael Dougherty (Trick 'r Treat, Krampus), it is the first American Godzilla film to feature monsters from the original Japanese Toho films besides Godzilla himself (the monsters in question being Mothra, Rodan, and King Ghidorah), and was released on May 31, 2019.
It stars Kyle Chandler as Dr. Mark Russell, Vera Farmiga as Dr. Emma Russell, Millie Bobby Brown as Madison Russell, Bradley Whitford as Dr. Stanton, Sally Hawkins as Dr. Vivienne Graham, Charles Dance as Alan Jonah, Thomas Middleditch as Sam Coleman, Aisha Hinds as Colonel Diane Foster, O'Shea Jackson Jr. as Barnes, with David Strathairn as Admiral William Stenz, Ken Watanabe as Dr. Ishiro Serizawa, and Zhang Ziyi as Dr. Chen.
Five years after the San Francisco battle, Monarch is put on trial after the damages caused by Godzilla's battle with the MUTOs, who hasn't appeared since. Meanwhile Emma Russell, haunted by the loss of her son Andrew, develops a machine to communicate with the Titans. However, she is kidnapped along with her daughter, Madison, by eco-terrorist Alan Jonah and takes them to the Monarch base in Antarctica.
Meanwhile, Godzilla immediately senses something is wrong, and goes to Antarctica himself, where he faces his newly awakened nemesis, King Ghidorah.
A promotional timeline has been released for the film, detailing the history of Monarch.