I had this experience playing couch co-op call of duty a few years ago. I had to make a fucking account. It's not even my console.
Nintendo has wavered a tad, but they're the closet to the original experience. You pop in a thingy, hook up another controller, or two, or three, and you're off. It just works, maybe you can input a name for your guy, maybe not, maybe you just always play Waluigi so everyone knows who you are.