If you're a fan of the classic Ninja Gaiden games, chances are you will enjoy the Shinobi games.
You pretty much get 2 generic attacks, your sword and shrukens. But you also get 4 special attacks, that are very handy, but you have to use them wisely. The music in this game is also very good, it's inspired by most of the late 80s-90s disco music, and it uses the Genesis soundchip to its max.
The storyline is pretty self-explanatory, you're pretty much trying to rescue your captured girlfriend, from a Criminal Organization known as "Zeed" The name of your character is Joe Musashi, a Shinobi. This storyline continues through the sequel, know as Shinobi III: Return of the Ninja Master
I say this is defintely a game worth adding to your collection. Also try out it's sequel, Shinobi III.