Can I use CS5 to make a game? Other than a basic text or maze game? Like, could I make a game like Crush the Castle or Dead Frontier with it? And which one should I get? Design Premium, Web Premium, etc?
Yes, it is possible to develop games similar to the ones you listed using Adobe Creative Suite 5, though they require experience in programming, and a physics engine. (A 3rd party engine would suffice)
The product you should choose depends too much on your own preferences for another to make an informed decision for you. Do some research on the contents of each package and decide which product best suits your needs.