One of the cirticism from fans regarding the american version of Godzilla is the fact that the monster is not anywhere near as resistant to damage as it's Japanese counterpart, as well as not having the trademark atomic breath.
The scene where Godzilla breathes on a bunch of cars and they explode is a reference to the Japanese Godzilla's trademark atomic breath energy beam. The American version does not have this power.
Due to the differences between the Godzilla shown in the film and the classic Toho character, the US version Godzilla has been nicknamed "GINO" (Godzilla In Name Only), NotZilla, Fraudzilla, Tuna-Head, Deanzilla or Patzilla (after the designers, Dean Devlin and Patrick Tatopoulos), TriZila (after the US filmmakers), and Zilla (for taking the "God" out of Godzilla) by fans of the Godzilla series. The Japanese producers of Godzilla, Toho Company would subsequently adopt the Zilla name for their official name of the US Godzilla version.