Pokémate

Unlike in other Pokémon games, the Pokémon in Pokémate are meant to be taken care of, similar to a virtual pet simulation; they do not level up or fight like a role-playing game. When the game is accessed for the first time, the player is given one random Pokémon and 10 Poké Balls with which to catch other Pokémon. Without a monthly subscription, the player can only catch three, randomly-chosen Pokémon. Source: Wikipedia, "http://en.wikipedia.org/wiki/Pok%C3%A9mate," available under the CC-BY-SA License.