^pretty much what he said.
Seriously this would take ages, there are tons of pokemon fansites, that's not even including the stuff that random people upload from their own personal experience with the game. Legality isn't an issue, never has been on the internet, they simply can't stop the breakout of information, screenshots and videos. Also in legal sense, it would vary from country but Nintendo would only have a claim if they lost sales or this reduces the chances, not to do with fansites making money from their product, if that were true, Khinsider wouldn't even exist. The general idea is that pirated copies cause loss of sales so Nintendo lose money, due to that they have a claim, a site dedicated to providing information about nintendo products does not lose nintendo any money therefore little chance they can get a claim.
It could be possible Nintendo can use their ownership of the game like a patened product, take the screenshots down that way but that would require a lot of money and time, it'll also be difficult as in most countries pokemon screenshots would be classified under public information, if Nintendo had not released the game in Japan then sure they can say it's private and get them down that way, but once you release a product to the public it stays in the public, also again with the fact that if I personally took a photo of the pokemon game or recorded a video of it, there is no possible way Nintendo can stop me, legally that is anyways.
To be fair tho this legal stuff is moot, this is the internet there are no laws on the internet, well ones that cannot be broken >.>