A very good collection of short stories, worthy as an introduction to Tolstoy for those who aren't ready to tackle War and Peace or Anna Karenina. They have much to say about the human condition, the nature of love and desire, marriage, family relationships and death, and as such have relevance for readers in many countries and cultures.
Family Happiness is probably the least good of the quartet, lacking the passion and drama of the other three stories. It is a study of the changing nature of love in the marriage between a young girl and an older man (though he is only in his late 30s!).
The Death of Ivan Ilyich is one I have just read separately, so I did not re-read it in this collection. For the sake of completeness here though: this concerns the thoughts and feelings of a man towards his family and those around him as he gets progressively more ill and is then dying from a wasting disease that sounds like cancer. The opening chapters are quite light-hearted with some ruefully amusing reflections on marriage and attitudes towards ones career, but then the mood becomes much darker and he ends being cynical about his family, seeing them as wishing his death to come sooner so they can be free of the burden of caring for him.
The Kreutzer Sonata is a very powerful story about the breakdown of a marriage, with some very advanced for the time (1889) views on how marriages evolve and how couples can grow to take each other for granted and eventually become actively hostile without wanting to grow apart. Tolstoy's postscript, published following the banning of the story in Russia and elsewhere, and concerning the moral superiority of celibacy, somewhat detracts from the dramatic impact of the ending, though.
The Devil is a powerful tale about how a nobleman's passion for the object of a former fling with a peasant wife destroys his seemingly happy marriage through obsession. There are two endings, the published one where he kills himself and the alternative one where he kills the object of his obsession.
An excellent collection, some of the best Russian literature of its type.