Vonnegut wrote many short stories throughout his career in his usual anarchic, eclectic manner.
To get going try his 1968 collection ‘Welcome To The Monkeyhouse’
Coming soon The SHORT TALE Review will feature links to a number of his most famous stories. The first to be reviewed will be the wonderfully and enigmatically entitled ‘2 B R 0 2 B’ from the gathered together 1999 collection ‘Bagombo Snuff Box’.
You can read it here to get you started: