That depends on which genre you are interested. Czech writers cover a large amount of different genres.
The number one best writer is considered to be Karel Čapek ( Č is pronounced the same way like CZ). He covered a wide variety of topics. For me personaly the best thing he wrote is the theatre play R.U.R. ( Rossum's Universal Robots), which later inspired Isaac Asimov's stories.
Czechs are also famous for their, often dark, humor. One of the best best examples is Jaroslav Hašek and his novel The Good Soldier Švejk. Imagine that you live in a world after the First World War. Many have died, the guys like Hemingway and Remarque are writing, how the war was a hell. And then some dude from Czechoslowakia releases his novel about the Great War, but it isn't the same brooding and dark stuff like the writers before. On the contrary he made fun of the war and the whole fighting. No wonder this novel holds a record as The Most translated Novel of Czech Literature. Bonus points if you manage do get the version illustrated by Josef Lada, but that could cost you a pretty penny.
There is a lot of other great writers, but I think that this is enough for now. Our culture has a lot to give to other countries, but we sadly weren't able to "market" it like for example Japanese.
By the way nice choice for the profile picture. A Trip to the Moon by Georges Méliès from 1902.
Oh, of course Čapek and Hašek were Czech writers... For Hašek I think more like writer without nationality, because he have overstepped it and write worldwide literature for me.... Kafka for me is more individual, so if you read him you think about the environment in which he grew up. He reminds me of Gogol and his strange Petersburg's stories - he has the originality of the imagination that can only be born in some specific area, this is my explanation why the people associates only Kafka with the Czech Republic.
For a long time, I wish to read this play from Chapek, it is like an archetype in this genre, and after it, nothing new is invented.
Thank you @angry0historian for the answer. I read everything, but if you know some other Czech writer with dark humor it will be great :)