How much depth do you expect from a game like House of the Dead? Hopefully it's not more than about 3-4 hours worth, because that's all you'll really get from the story mode. After you complete the 3 hour game, you unlock a "Directors Cut" of the story, which allows you to play through a second time with a slightly amped difficulty which requires players to cover each other while inevitable reloads happen. There are more bonuses for saving civilians and more gold brains to collect with a sprinkle of a few more enemies.
There are even a few mini games which can be played with up to 4 players, and include target shooting, saving survivors, and a survival horde mode. All of this adds up to a pretty decent showing of the first original House of the Dead console title.