Of these, it's F-Zero by far. They have a simple concept that doesn't really require a lot of thinking outside of the box to keep justifying new entries. It also has sold well in the past and is a well regarded series that they also have multiple possible partners to help in development. That they don't do more with it is weird.
Star Fox is something that is frustrating that they don't do more with it, but I also get why they don't. The classic kind of Star Fox is something that is a short incredible experience, but is...well....short. Even with branching paths, it'd be insanely hard to justify something like SF64 unless they bloated the hell out of it with a ton of content that most players will never end up seeing. At this point, you either get a weird experimental but fully funded Star Fox or you can get a lower budget eshop traditional Star Fox (which would also lose Star Fox's appeal as something that pushed technology back in the day).
Metroid has long gaps between releases, but that's really nothing new for the franchise. Outside of a couple missteps, they've treated the series perfectly fine. It's also not like they aren't actively doing things with it.
I don't even get why Donkey Kong is an option? They do fun stuff with it and then occasionally they twist things up.
I guess Yoshi has never really got back to the greatness of YI, but it's not like they haven't at least still made good stuff.
Mother is over because the creator wants it to be over. Is it really mishandling it if they are following in Itoi's wishes? Or are we talking about how Mother 3 never got localized, even though it's painfully obvious why isn't happening.
Finally, Paper Mario isn't really being mishandled. They followed player feedback, decided to go back to the drawing board, and have largely gone down a path that the developers like and consumers (outside of an extremely vocal minority and one incredibly obnoxious muppet) are seemingly fine with.