Ox without a doubt.
A poster below suggested that they're owned by the same people who own Marco and Pepe, but I don't think that's the case.
Regardless, the food is imaginative, the wine list is well thought out, and they actually have a cocktail program. The place is quite special.
I agree with the LightHorse Tavern also, but if they like steak, try Edwards www.edwardssteakhouse.com - I think the story is that the chef from old homestead opened this place up - have been there a few times, great neighborhood place....have a drink and steak at the small bar in the unexpected cozy downstairs...or hit the bigger dining room upstairs.
For $100, I would suggest the following casual restaurants, all easily accessible for the area requested....The Light HorseTavern, Komegashi Too and Laico's.
67 Terhune Ave, Jersey City, NJ 07305, USA (Italian) (201) 434-4115
Some Italian suggestions
Some lunch selections:
Some local suggestions: