The first American-made Godzilla film was released in 1998 by Tristar Pictures. The second one was by Legendary Pictures for their Monsterverse, and as of today, the Monsterverse is ongoing.
Tristar Pictures
Baby Godzillas / Baby Zillas
Legendary Pictures
Godzilla
Kong
Mothra
Rodan
King Ghidorah / Monster Zero
Scylla
Methuselah
Behemoth
Skar King
Shimo
Suko
MUTOs
Yamata-no-Orochi
Doug
Dagon