In the film, after getting into a big fight with Henry, Clare drives off in the middle of the night to pick up a past version from him stuck in a freezing parking lot. Henry asks her how things are, and apologises for his future actions: "yeah, that guy can be a real jerk sometimes".
In the book, a future version of Henry telling Clare not to give up hope when she's standing depressed in front of a baby store, as they do have a child in the future.
The last time Henry and Clare have sex, on New Year's Eve, both knowing that his death is soon.
Henry thanking Gomez at the end of his life for being a great friend.
Henry being afraid Clare's latest pregnancy will again end horribly when the fetus time travels...until he travels into the future and meets his daughter, happy and healthy, at 10 years old.