You need to check out Water Taxi Beach in LIC. Just south of Gantry Park and across from the Waterfront Crab House. For hot dogs they have:
Black Angus Beef Dogs $3 (Stahl-Meyer, deep fried)
Soy dog, $3.50 (Various, BBQ'd)
Chili Cheese Dog $4.50 (Black Angus Dog, Coney Sauce, Am Chz)
Marinated Beef Hot Dog $4 (Griddled, tastes sweet & spicy)
They also have 300 tons of New Jersey sand, a Tiki Bar, volleyball and music. How can you go wrong??
If you're looking for a non-New York hot dog, definitely check out the Chilean hot dogs at San Antonio Bakery #2, on Astoria Blvd (South Side of the highway) at 37th St. They're all-beef, with a grilled bun, tomato, onions, guacamole, mayo, and chili sauce on the side. Definitely worth a trip, cheap, and their other stuff is tasty too.
Oh, and the last time I was in there, the owner said that they were planning on adding pizzas and delivery to their lineup...! Chilean hot dogs, delivered to your door! Can't beat that...