Let's correct one thing - Nintendo isn't getting theme parks. It's getting themed areas in 3 Universal's theme parks.
Nintendo being a big brand in the 80s did not stop sales to drop from the NES to the SNES.
And add FIFA to the list of franchises bigger than Mario and Pokemon. I'd argue that Battlefield, CoD and Elder Scrolls are also bigger. Destiny and Overwatch are potentially bigger too.
Adjusted for inflation, the PS cost about the same as the NES ($393 vs $364). There's no denying that Nintendo was massively lucky and has to thanks Atari for its gaffes.
Fifa has finally caught up to Pokemon, but it's not a stronger brand. Battlefield, on the other hand, is not bigger than Pokemon and isn't in great shape after Battlefield Hardline. CoD is bigger, but CoD is the biggest or second biggest brand in the industry sooooo yeah, not shocking. Elder Scrolls is bigger, assuming it maintains its strenght from Skyrim. Destiny isn't. Overwatch isn't yet, but we'll see. Pokemon as a brand is still among the strongest out there.
Mario has had a dip in sales, so that's a fair assessment, though as a brand Mario is still very strong (It ain't called "Nintendo Kart" for a reason)
And there is denying that Nintendo was "massively lucky". They came in and did everything right in the early eighties to get the industry whipped into shape. If you think that was blind luck...then wow. And people accused ME of revisionism in this thread....
I'll admit FIFA has caught up, but I think its been mostly Europe that has been carrying the sales of the games, since its because of the obvious. For Pokemon, its still huge worldwide, not just in Japan. Like you, I don't know if I give games like Destiny and Overwatch a nod up in the ranks of Pokemon and Mario, at least not yet. I'd probably give Warcraft a nod within the top ranks, but other than GTA, CoD, and maybe FIFA, Mario and Pokemon remain among the strongest in the gaming industry. For the latter two, they've reached beyond gaming and have garned status in the overall pop culture. Even if you haven't played a video game, you would at least heard about Pokemon and Mario.
And I agree with your last statement and I think this notion about "Nintendo is lucky" is just as ridiculous as saying "Sony is lucky" during the 5th generation.