Pyro as Bill, you brought over nomenclature from an unrelated series of discussions and tried to shoehorn it into the vernacular of an entirely different audience. That is not going to help facilitate communications.
EVERYONE, THIS IS WHAT HE MEANS:
"Where are the pick-up-and-play games with a focus on accessibility and challenge? I am excluding FPS games, fighting games, and downloadable games from this question."
It's a disingenuous question in a lot of ways. The arcades have been dying for years in the US for a reason.
More, action games carry on arcade values. You want arcade games? Look no further than Earth Defense Force 2017. Look no further than Bayonetta. Look no further than Ninja Gaiden.
It's there. You just have to be willing to look for it.