I think you can put anything you want in a nook especially if no dining room. The only caveat would be if table just too big. Then change table but keep your chairs etc. If it fits your style for rest of adjoining rooms go for it. A nook can be casual or more formal. Change the light fixture to something more special that fits your styling and complements your new kitchen.

You can create a really charming space. If things feel cramped, consider using a bench insstead of all of the chairs

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You can find a lot of ideas by searching on Houzz or the internet for pictures of ”dining room New York apartments” or try Boston or some other older cities, like Paris. Dining rooms in old apartments are often nook-sized