Great, some meat, let's meta-check the first fact check.
This is useful because your citatation is a good example of misleading commentary that tries to make Breitbart look worse than it actually is (again, do not mistake this argument for claiming it's actually super reliable). The story described on that page isn't false and the fact checks contradict themselves or end up agreeing.
Wikipedia is writing about a story headlined "Revealed: 1,000-Man Mob Attack Police, Set Germany’s Oldest Church Alight on New Year’s Eve". It states "the story was later shown to be false". This seems pretty categorical. The story was false, entirely false, and nothing but false. The citation for this statement is citation 189, a story in TheLocal.de
So let's read this takedown. Wiki says:
St. Reinold's Church is neither the oldest church in Germany nor was the church set on fire.
But the article Wikipedia cites says:
St. Reinold is not Germany's oldest church - that would be the Cathedral of Trier - and a small fire had started on some netting on scaffolding around the church, not the roof, due to one firework.
Wikipedia states St Reinold is the oldest church in Dortmund, Germany. So the claim of falsity here hinges on a dispute over whether churches are the same thing as cathedrals, or maybe there is an older church somewhere else in Germany, I was unable to establish that within a few minutes.
However it makes no actual difference to the story, is the sort of mistake that is easily made, and in fact Breitbart has published a correction at the bottom of the story:
"Correction: This article states St. Reinold’s Church is the oldest in Germany. We are happy to clarify that accolade belongs to the Trier Cathedral. Breitbart News stands by all other substantive facts in this article."
This sort of minor correction occurs frequently across all news organisations, and is not worth labelling a story as entirely false. Let's continue.
The second part of the claim that Breitbart is lying hinges on a dispute over whether the fire was on the roof of the church, or whether it was on some scaffolding around the church. This again does not seem very important, especially as scaffolding typically reaches the roof.
The third part of the claim is this:
video footage from the scene does not show a "mob", and no policemen were targeted
but again, citation 189 contradicts Wikipedia. It says:
The original report by the local news site from that night describes how some individuals did start launching fireworks from within the crowd towards police, who told them to stop but were ignored.
So local non-Breitbart news sources reported that policemen were targeted and I suppose, whether you describe a crowd of 1000 people deliberately launching fireworks at police as a "mob" is dependent more on your viewpoint than facts - any crowd can be described that way and Breitbart makes no claim to be neutral. However they were just re-reporting what local German news itself claimed here.
Final inspection. One of the stories central claims is that a group of men unfurled the flag of the "Free Syrian Army", which Breitbart describes as a group of "al-Queda and ISIS collaborators". The video is included in the Breitbart story so you can check this claim for yourself. It's actually kind of hard to see because the man unfurling the flag is facing away from the camera and we only get to see small parts of it, but it does look somewhat like the FSA flag, and again, TheLocal.de (the primary citation for the claim "the story is false") does not disagree with what happened. Instead they describe it like this: "In fact, the video shows a man holding a flag widely flown by those opposing the current government." - this is not a refutation. The FSA did indeed oppose the Syrian government. Breitbart's claim that they're "ISIS and al-Qaeda" collaborators relies on another story I won't bother to fact check, but I note nobody is disputing that claim specifically.
As fact checks go this is one of the weaker ones I've seen. Most of the claims Breitbart made came from local German press to begin with, and the claims that the story is "false" turn out to be quibbles over trivial details that Breitbart itself happily corrected because they were irrelevant to the story. The other claims are all things that those disputing them actually agree with, they just have a preferred spin.
Do you have other stories you believe demonstrates this problem better? I'm sure they have published entirely false stories because it's such a common thing. But this case doesn't seem to be one of those times.