If miso soup and sushi are all that come to mind when you think of Japanese cuisine, it’s time to step away from the takeout California rolls and pick up a santoku bocho (all-purpose Japanese knife).

Chinese home cooking is full of vegetarian fare that requires a quick toss in a hot wok, just like this sweet, savory, and slightly tart cabbage stir-fry. Green cabbage retains its crunch, while ...