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There are a number of different games available from the marketplace. You can find new games by going into the XBOX Live hub and looking at the Spotlight screen or by going to the Collection screen and tapping the Get More Games link.
If you choose to use the Get More Games link, you are taken to the Games section of the Marketplace. The Games section contains several pages that list the available games in various ways (XBOX Live, New, Featured, Genres). You can flick between these pages to see the games that are listed.
You also have the option of browsing the available games by category. Simply flick the screen to the left to access the Genres list. Of course if you have a specific game that you are interested in, you can always use the Search button.