If you search HO, there are are plenty of posts on the topic of Jersey Sushi and Omakase (or the lack thereof) …
A vast majority of the Sushi places in Jersey are run by Fujianese (the dominant Chinese ethnic group in the greater New York area), most of whom have no training in Japan.
What is served is an endless variety of basically 5-6 types of fish (yellow fin, yellow tail, crap stick, salmon, flying fish roe & white tuna) in endless and seemingly similar “signature rolls”. If they have Uni (sea urchin roe) it is well aged, sometimes you may see squid or octopus. Even the places that are actually run by Japanese still feature the same fish sorts, just check menus on line.
The fish sorts in Jersey invariably include ‘white tuna’ or escolar, which actually causes diarrhea, and IMO should be banned from menus.
So in Jersey sushi is more like Kamikaze than Omakase…
There are a number of really outstanding sushi places in NYC that have decent omakase. You should be prepared to spend at least $ 125 per person and upwards. Yasuda, Nakazawa, Tanoshi, come to mind. Check the web, there are always new ones.