What everyone seems to miss is that the semi-colons in JavaScript are not statement terminators but statement separators. It's a subtle difference, but it is important to the way the parser is programmed. Treat them like what they are and you will find leaving them out will feel much more natural.
I've programmed in other languages where the semi-colon is a statement separator and also optional as the parser does 'semi-colon insertion' on newlines where it does not break the grammar. So I was not unfamiliar with it when I found it in JavaScript.
I don't like noise in a language (which is one reason I'm bad at Perl) and semi-colons are noise in JavaScript. So I omit them.