Used to go to the Harold's NY Deli in Lyndhurst all the time when my offices were just across the street. Perfect place for the office when 4+ of you are going out for lunch but a bit more difficult if going alone or just two of you. But you need to understand that it will be about $50 per personUnfortunately, every kosher place will be closed on the Sabbath (and especially on Rosh Hashanah), but Harold's NY Deli in Edison is not kosher and they have what you're looking for, although in mammoth sizes. I've had a few bites of their bagel with lox and it's very good, but I can't order anything there other than the pastrami on rye, which, IMO, is better than the more famous Katz's or 2nd Ave Deli in NYC (we get Harold's every month or two). And they have incredible, but again, huge, vanilla shakes for $17. If you're a foodie and you've never been there, you need to go.
http://www.haroldsfamousdeli.com/
Always funny the first time you bring someone there and have them order a slice of cake too...