Yeah love that you mentioned T&T. It’s more Chinese rather than Korean focused though. I think they really cleaned things up when Loblaws bought them. They’ve got some really nice stores (clean, spacious and well-lit) in Markham.
There is at least one H mart in Canada: in Vancouver. Great place to get cheap food down town.
There's also Adonis as the Lebanese equivalent, in ON/QC at least.