I probably frequent here twice a week, because I am obsessed with Mexican food, and I'm fortunate enough to live in close proximity to this place. Taqueria Tepango is definitely a sapphire in the rough since there are a lot of terrible/over-priced Mexican restaurants in NYC.
As Jim Jarmusch put it in the documentary Blank City, the address is roughly between Bowery, Avenue B, 14th Street and Houston. This area of the city is steeped in art, film, and music history; so many hugely influential artists, film makers, and musicians still live and work here. For such a small area, I think it's had more concentrated influence on contemporary art and culture than anywhere else.
I love this excellent independent arthouse theater in the Lower East side. Metrograph projects archive quality 35mm and independent films. Tastefully decorated, there is also a candy store, bookstore and restaurant.
Part of the Marlow restaurant group, Diner is one of the more casual / rustic options. The menu changes daily and is written out (most likely upside down by the wait staff) on your table or the back of a receipt. The only constant item is the burger, which to be honest, is one of the best in the neighborhood. If they have a breakfast sandwich for brunch, get that. The fried chicken sandwich (with dark meat) is also a favorite. They make scrambled egg dishes better than most. Dinner is solid all around (they crush a steak for two). Homemade ketchup and dijon mustard are on every table, so regardless of what you get, these two condiments are worth the visit.