Hilarious in Hindsight: Just two years before the film came out, Brad Pitt and Cate Blanchett were slated to play the leads in The Fountain, but ultimately dropped out. In that film, they also would have played two star-crossed lovers dealing with the complications caused by unusual movement through time.
Though in the same year that The Fountain came out, Pitt and Blanchett DID appear together as a married pair undergoing difficulties in Babel (which, to go along with the time movement, had an unusual sequencing of its events).
A disfigured baby is abandoned by his horrified upper-class parent(s). Are we talking about Benjamin Button or The Penguin?
Hollywood Homely: Subverted as Benjamin refers to Elizabeth (Tilda Swinton) as "plain as paper". When we first see her she is indeed plainly dressed and nothing remarkable. However as her and Benjamin's relationship progresses we get to see her done to the nines on a few occasions.
Memetic Mutation: "Did I ever tell you that I was struck by lightning seven times?"
Offscreen Moment of Awesome: Benjamin is all grown up in his mind, but has the body of a young man, and so he goes to explore the world and do all sorts of interesting things in exotic locales. But all we get is a short montage.
Sci Fi Ghetto: For a (relatively) fantasy movie, it did great with the Oscars and critics alike.
They Copied It, So It Sucks: Many make this observation to this film in its similarities to Forrest Gump; written by the same screenwriter, about a guy's life as he deals with the love of his life, encountering many people and parenthood.
They Wasted a Perfectly Good Plot: Probably the most common criticism of the film is that the curious case of the title barely impacts the plot at all. Seriously, does no one in the world take any interest in this phenomenon?
What an Idiot: When Daisy crosses the street while dancing with her eyes shut, she is ran over by a car. While it is of common knowledge that the accident could have easily been avoided by the victim, the narrator introduces strangers marginally involved in the incident and carefully describes it as a coincidence instead of a potential Darwin Award nomination.