There are some 3rd party games on that list (most notably 2 out of the 3 Operation Rainfall games), which I consider an attempt to unnecessarily make your list more impressive than it actually is considering Nintendo didn't actually develop them. As for what people consider "major" IPs, my first thought would be "anything released on physical media, preferably with an actual marketing budget" (i.e. not digital-only games like HarmoKnight). Until Nintendo has more of a presence in the realm of digital games, I have a hard time calling anything they dump on their eShops "major titles", at least compared to the Shadow Complexes or Walking Deads of the competition's digital services.
As for the topic at hand, I can't say I'm fond of Iwata. Under his leadership, I feel like Nintendo's 1st party titles have largely declined. I have a very hard time now getting excited for one of them these days, because I know exactly what to expect (with some exceptions, of course). Perhaps it's an artifact of being exposed to so many other experiences on other platforms over the past generation, but so much of what Nintendo makes these days feels very "safe" and bland to me.
My problem with the people calling for his ouster, though, is simple: who would you have in his stead? I can't think of another notable person at Nintendo I'd rather have running the company than making games, and given Japan's business culture an outsider will never run that company. A lot of the problems many of us have with Nintendo wouldn't go away with someone new at the helm, as many of those problems can be traced back to the decline of the Japanese game industry in general (and many more to trends in the global game industry).
Nintendo of America, though, is a different story. IMO, Reggie's needed to go for a long time now, and unlike Nintendo corporate his successor could be drawn from outside the company (and thus bring new perspective and ideas). Perhaps a stronger NoA rejuvenated by fresh blood with a new vision and mission could bring Nintendo in general back in line.