An exhaustive list of the HBO original series and miniseries and all related programming can be found via Wikipedia.org. That list shows not only shows currently in production but also past original programming and shows as well.
HBO began airing original programming with movies that were made for pay cable in the early 1980s, but by the middle part of the decade, the cable network was already offering a variety of original series. Throughout the years HBO has won numerous awards for the quality and scope of the original series programming presented on the network, including Emmys and Golden Globes.
The network continues to create original series content, much of which can be streamed through various digital platforms by subscription. Archived original series are also available for direct purchase from HBO either in digital or physical media formats.