Koihime Enbu is the sequel of Shin Koihime Musou: Otome Taisen Sangokushi Engi (arcades, PC, PS3). (They make the name shorter probably to avoid confusion.) There're 3 new characters: Sui, Nagi, and Minmei.
This's a game that Beast Note recommends. It's footsie-based Samurai Shodown style. You can do long combos only after a counterhit by the move called Hougeki (It's SF4's Focus Attack minus Armor and Dash Cancel). There's no comeback mechanics.