Dead or Alive: Paradise is a re-release of Dead or Alive Xtreme 2 on the 360. Some of the games have been stripped away (Jet Race and Water Slide), and an extra character has been added. On the topic of that extra character, Rio, she is now officially the best DoA girl.
Here's the long and short of it: DoA:P is a game based on mini games and collection. It can be played in bursts of less than 5 minutes, or for extended periods. It saves all the time, so you can turn it on and off whenever you want. If you enjoy simple mini games, anything to do with collection, or digital females, then you'll like it.
The macro game which encompasses the micro games is just plain relaxing, and that's the best word to describe the game. A two week holiday on a tropical island, punctuated by the casino, the volleyball, and the obligatory pictures.
But it expecting a relaxing collection of minigames, and you'll get an enjoyable experience. Buy it expecting anything else, and you'll not get into it at all (see the other review for more on that line of thought).