While there isn't a single "new" JSK game in the traditional sense—as JSK Studio (the developer behind the iconic series of Flash-based combat and "doujinsoft" games) primarily created these titles during the Flash era—you can still find their extensive library through modern preservation projects. Best Way to Play: JSK Studio Collection
While the era of web-based Flash games has largely shifted to archives,
Since specific dialogue answers change game-to-game, here is the general strategy for winning any JSK game: