[Editor’s Note: this list was originally published in July 2017. It has been updated multiple times with new entries.]

Both on the awards circuit and in the public consciousness, HBO is widely regarded as among the first Hollywood heavyweights to recognize that television, as a medium, had the power to deliver sprawling, large scale stories on a smaller screen. From HBO’s ascent in the late 1990s through its dragon-aided roar across the 2010s, the network’s original series tackled universal stories, stretching across continents and decades.

The network hasn’t been without controversy, though. HBO faced questions about its lack of diversity in flagship series, including “Game of Thrones” and “Girls,” throughout the 2010s. And, unshackled from the restrictions of broadcast TV, the various steps the network took to push the limit of what’s allowed on screen garnered a fair share of pearl-clutching headlines; see “The Sopranos” in the ’90s and “Euphoria” just a few years back. And since the Warner Bros. and Discovery merger, there’s...