The acting is all terrific, and the cast is stellar - a constellation of "interesting" actors rather than "stars": Juliette Binoche, Natalie Portman, Maggie Gyllenhaal (speaking beautiful French), Nick Nolte (in an unexpected role), Willem Dafoe, Bob Hoskins, others whom I did not recognize. Some are funny, some are heartbreaking. The only form of love or attachment not included is one about a dog, and given the setting perhaps that's a minor omission!
Of course, part of the pleasure is the setting, and it will make you nostalgic for Paris. Each vignette features a different arrondisement or district, with the subject matter complementing the setting in some way.
I find myself thinking about many of the characters I met in that film and wondering what will happen next. That's the best kind of movie-going experience.