There are some moments I also happen to like ("love" might be too strong a word here): Godzilla's leap into Hudson River, the drive into Godzilla's mouth, when Godzilla fools the submarines, the sequence at Madison Square Garden with the Godzilla babies. I also like Jean Reno's hardboiled character. My son says: "The best moment is the ending." He always feels sympathy for the baddies in the film when they fall.
More Overlooked Movies here.