Genji: Days of the Blade's style is just like its prequel. You go from locked-down location to locked-down location, tearing your way through hordes of enemies in a seemingly never-ending hack-n-slash. The constant button-mashing is only interrupted by lengthy story sequences that allow you to give your thumbs a bit of a rest. I was slightly annoyed when the first part of the game was a lengthy story that I couldn't skip, followed by about five seconds of me walking and then another three or four minutes of story. Thankfully, it wasn't quite that bad throughout the game, but the story-to-action ratio was about 50/50 overall.
The battles are typically you in the middle of a dozen or so baddies each lining up to take a swipe at you. Typically they won't come at you one at a time, but I rarely had to fend off more than three at once. The lack in any real variation in this formula (short of the strength and look of the enemies) is one of the things that makes this game so repetitious.
Taking place several years after the first Genji game, Yoshitsune and Benkei are living the high life as protectors of the land. Then one day, the Heishi clan reappears and storms the city. Now it is up to the two fighters (well, later Gozen and a mysterious fourth warrior appear) to stop the monstrous clan from destroying everything.
Again, like the first game, your characters are broken up into very archetypal styles. Gozen is your quick but not very strong fighter, Benkai packs a lot of wallop, but is slow as hell and Yoshitsune is more powerful than Gozen and not as slow as Benkai (for a more balanced fighter).