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.
Adult Fear: For Marlene, whose husband is injured and nearly dies in a horrific crash. As if that wasn't enough said husband decides to return to the tracks after a mere six weeks. He then begins the Japanese Grand Prix despite horrible weather conditions, though thankfully for Marlene he decides to quit the race after only one lap.
Quite a few people are furious that Daniel Brühl didn't even get a Best Supporting Actor nomination at the Oscars, especially considering that he's gotten them in other awards shows. Richard Roeper is one of them.
Of course, that he's being nominated in the supporting actor category for who is nominally one of the main characters falls into Award Category Fraud.
The film also was expected to be a nominee for Sound Editing and Sound Mixing, but ended up getting no nominations by the Academy at all.
Equally infuriating is that, despite the fact that Brühl spent hours in the makeup chair and the film was praised for the realistic portrayal of his burns, the film wasn't nominated in the best makeup and hairstyling category. There were only three nominees, one of them being Bad Grandpa. Let that sink in: A Jackass movie now has the honor of being called Oscar-nominated while Rush is not.
Though, in this case, the Jackass film was widely acclaimed for its make-up (Johnny Knoxville spent several hours in the make-up chair to be transformed into the titular character, looking unrecognizable). And the movie itself earned a fairly positive critical reception.
Billing Displacement: Niki Lauda and James Hunt are both the main characters (although since Lauda narrates the opening and closing of the film he could arguably be considered the main main character). Most posters feature Hunt in the foreground with Lauda behind him (some featuring Lauda much less clearly than Hunt◊). Some posters feature only James Hunt. Hemsworth is more well-known than Brühl but it's still quite glaring.
Critical Research Failure: "Artistic Licence" excuses most of the inaccuracies in the film, but claiming the Nordschleife is called “The Graveyard” when its iconic real nickname is “The Green Hell” sparked serious anger amongst F1 fans
After seeing the movie and watching Niki and Marlene's happy marriage, it's a little sobering and depressing to read Niki's Wikipedia page and find out they eventually divorced.
Sean Edwards played (via stunt doubling) his father Guy, who was one of the ones to pull Niki out of his wreck. On October 15th 2013 he was killed in an equally fiery crash at Queensland during a test drive with one of his proteges.
A few months later, Mauro Pane, Daniel Brühl's stunt double, also died from a car crash.
All the times James drank, smoked, and did drugs, considering his hard partying likely contributed to his death via heart attack at 45.
Hunt's sponsor, Lord Hesketh, was shown lavishing money on his team (complete with a butler serving oysters and caviar in the pits). Later on in life, he was involved in several failed business ventures and eventually had to sell his family estate (including the historic 300-plus year old country house of Easton Neston).
Aside from the Foe Yay mentioned above there was the moment where James was so thrilled about Hesketh entering Formula One that he planted a big kiss on Lord Hesketh. Poor guy looked bewildered.
According to Brühl, he and Chris Hemsworth invented a romantic comedy between James and Niki in between takes so the Foe and Ho Yay might be a tad deliberate.
If we get a little meta with the Ho Yay, Lauda once said Hemsworth's ass made the movie.
Idiosyncratic Ship Naming: While the pairing of James/Niki does have the Portmanteau Couple Name of 'Launt', Tumblr fangirls tend to use the term 'Rathunt' more. Likewise the Niki/Marlene pairing is colloquially known as "Because I'm Asking You To" after a memorable line from Marlene.
Memetic Sex God: In-universe. James Hunt can get into any woman's pants within the span of a few minutes. "Sex is the breakfast of champions" indeed.
Nightmare Fuel: There's very little discretion in the shots of Niki getting his face burned.
Also Marlene driving in her car and hearing the news of a serious crash at Nürburgring, the driver then identified as Lauda. Her devastation is palpable.
Another racer's leg so severely damaged that the tibia and fibula are exposed.
Blood clots and fluid being vacuumed from Niki's lungs with a metal tube after his horrifying crash at Nürburgring. And as pointed out in one review, this was seventies technology so this was not a very fast process.