Hint 1: This game kicked off professional e-sports-leagues - in Korea.
As guessed by TuckOSaurus, the next game is Starcraft.
Starcraft was Blizzards big success in the world of real time strategy. In many regards the game defined the genre.
In a single match you play on of three science-fiction faction, the humans or one of the two alien races Protoss or Zerg. You gather resources, build structures and create an army with which you overrun your enemy. Or not and get overrun. Each faction has specific buildings, troops and specialties.
The game had a campaign with three main chapters (one for each faction) and around 10 maps (=fights) for each chapter.
This game ate hundreds of hours of my lifetime with in LAN-Parties: playing fights with friends. It was tremenduous fun set up a map with each having similar starting conditions and battle it out. This was so much fun, that in Korea people started watching other people play. This was in my knowledge the start of professional (payed) e-sports leagues, although something earlier might exist I'm not aware of. But look, how they played in public:
With the expansion Broodwar Blizzard added some more unit-types, more maps and a new single-player campaign with similar length.
One thing you have to credit Blizzard for is the tremenduous support they offered for the game. They delivered regular pathces that fixed stuff, balanced units and so on. They also released new maps. And this for years. But also the community helped with the big success. The game contained a level-editor, and so a ton of community-made content was available. Not only own maps, but also new single-player-campaigns.
The game was back then released for Windows (I think Windows 95 or so). It was also ported to MacOS and Nintendo 64. Recently Blizzard gave the game away for free, but also releasing a remastered edition with better graphics but gameplay still intact. They also have a sequel, Starcraft II.