These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Love It or Hate It: Lars von Trier is in the running for the filmmaker to most sharply divide opinion. You either think he's a brilliant artist who singlehandedly reinvented Cinema, or you think he's a hateful, misogynistic one-trick-pony that lives to make audiences as miserable as his characters.
To drive this point home, The Movie Show's Margaret Pomeranz gave Dancer in the Dark 5 stars out of 5, while her partner, David Stratton, gave it zero stars. That was the only time that'd happened in the history of the show. Lars is a very polarizing character.
Magnum Opus: Generally agreed upon to be Breaking the Waves. At the very least, it's one of his only works that has actually achieved a degree of Critical Consensus.
Some may cite Dancer in the Dark or even Nymphomaniac as this as well.
Small Name, Big Ego: The amount of things that von Trier has said in the past would probably fill a page and half but notable examples have included telling Peter Jackson that he would have made a better The Lord of the Rings adaptation and saying he understood Adolf Hitler while at the Cannes Film Festival (Nazism is a touchy subject in France) which led to a lifetime ban from the festival. Then again, he's pretty infamous for saying things like this, so he's probably just trolling.
True Art Is Angsty: Lars didn't invent this game, but he now owns it the way Tiger Woods owns golf.