Hehehe. He can eat pretty much whatever he wants given his size.
But as for the actual films, I don't think it actually featured Godzilla eating anything at all. Sure, he munched a rail car in the original and in Godzilla 1985, but don't think he actually ate bit.
He did "feed" on radiation when he attacked the nuclear power plants in some of the films. And even that he didn't actually put anything in his mouth, he just grabs a nuclear reactor and let the radiation be “absorbed" into him (indicated by his glowing spikes).