The first time I went to Broadway was for one reason - Yum Bun and their David Chang-copied pork belly bao. It was a beautiful snack, better than the original in my opinion, and as they began to leave Broadway there were several instances where I turned up and they didn't.
I had to find another reason to go, and it became the game meats and local pig farmer stand there. My staples were venison shin and pork ribs which I always turned into stew for the week and noodle soups for warming up the winters.
Other than that my favourite snacks were the Remix Roti, Vada Chaat and chai as well as one day sampling the Macbeth haggis toastie at Deeney's (both places in the schoolyard area, as was Yum Bun). Netil Market nearby also has Lucky Chip burgers and a spinoff of the seafood place within Broadway and a taco van. The food in Broadway is decent (£5-6 for a banh mi considering I'm used to the $4 ones in Abbotsford is a little beyond me...), but I think with the exception of the schoolyard stands, none of it is essential visiting. Borough is better for that in my opinion.