As a New Yorker, I’m happy to see someone else has already suggested Vic’s. Although I haven’t been back since 2020, it has always been one of my favorite restaurants, the food, service and ambiance are wonderful! Italian appetizers , pastas, pizza, entrees are encouraged for sharing. They also have great brunch options in case you need that in the future.
Fiaschetteria Pistoria is another wonderful Italian restaurant, I’ve been to their restaurant on the west side but they also have a location on East 11th.
For something casual, Foxface sandwich “window” is wonderful. Menus change daily with unique combinations. Since it’s a window, they don’t have indoor space but last time I was there they were sharing an outdoor space with a neighboring restaurant.
For locations a little further, but in the East Village/ABC area: Nowon (about 15 minute walk), and many others if you need more just ask. Also love LES and Soho options depending how close you want to be … enjoy dinner and the show!