Okay, I have no real problems with listing Gladiator, Braveheart, The Patriot, and Elizabeth: The Golden Age for the reasons they presented. They are supposed to be about real historical figures, and take some liberties. The three I've seen are some damned good movies, though.
Apocalypto I've not seen. I'm a little iffier on this, as Mayan culture is dead, and there's a lot of speculation involved. There also seems to be a real hatred for Mel Gibson here for some reason. Surprised they didn't put Passion of the Christ on the list.
2001. Ha ha. Cute. No one ever thought of that before. Have you heard the one about the chicken crossing the road?
10,000 BC and 300: What the fuck? Did anyone go to see either of these expecting a history lesson? Fucktards.
Memoirs of a Geisha: They listed this for two incredibly minor reasons. Aside from these two ridiculously insignificant details, it's pretty accurate. Not a history lesson, but not too far away from it. Also, it sticks really closely to the book, which was meticulously researched, so I'm guessing their details on the mizuage could've been possible in some circles. And the dance? Why don't you complain that there weren't Chinese geisha, since the actress was Chinese?
The Last Samurai: Hello. Historical fiction. Meaning this didn't really happen. It could feasibly have happened, though. As opposed to history, which is verified fact. Why don't we bitch and moan about Saving Private Ryan, since he didn't exist, either? The details are totally made up, but a great deal of it definitely falls under "could've been."
Why not bitch about Pearl Harbor, where FDR decides to stand up despite this being a known impossibility in his case?
I can come up with bazillions. Like the US Navy never fired on New York City, as shown in Gangs of New York. Or Birdman of Alcatraz; the dude didn't fucking raise birds in Alcatraz, and he was hardly a nice old man.
It doesn't so much bug me that people make lists like this as it does that they get paid to come up with lists like this.

