mm godzilla's breath have melted tanks with stronger materials than iron, and for what we know only the mark 4 and the only 5 were build in titanium ,a stronger and more light metal than iron , and we didn't count godzilla's ability to absorb nuclear radiation and electricity(at the end of the showa era to onwards) neither his nuclear pulse wich would act as a EMP to the modern jaegers

the only enemies that were cappable to visibly wound godzilla are : Gigan ,Biollante Destoroyah , and the first Mechagodzilla

of course all depends on the version of godzilla , but i can say that his hesei incarnation along with GMK ,2000 and final wars can defeat all the jaegers , im not sure with the showa series ,since it was changing his powers in every movie , maybe the one in godzilla vs hedora , just because no one expects to see a giant mutant dinosaur fly