There are a number of restaurants in Taiwan where you don’t really need to know any Chinese to order. One of my favorite places to eat is the ubiquitous Taiwan Buffet. Just grab a tray and some tongs, grab what you want, and the clerk will tell you how much you need to pay. In some places, you can just point to the food and they will load the tray for you.
Perhaps even more common are Braised or Grilled food stands, where you load up a basket with meat, eggs, vegetables, tofu, noodles, etc., and the cook will either braise, grill, or deep fry it all for you. You don’t need to know any Chinese to order, though you might not know how that particular place will cook the food until you try it. If you get to a Night Market too late, these are usually the last stalls to close.