Tottoko Hamtaro: Tomodachi Daisakusen Dechu

From Wikipedia:

"Tottoko Hamtaro: Tomodachi Daisakusen Dechu is a fortune-telling game released in Japan for the Game Boy Color in 2000. Though it has the appearance of a virtual pet game, the game contains no pet-raising elements nor direct ways to interact with Hamtaro. Rather, the game asks the player to fill out a notebook with information (full name, nickname, gender, birth date, and blood type) about themselves, their family, and their friends. This information is then used to pseudo-randomly generate predictions about the person – which Ham-Ham they're most like, their personality traits, their romantic or platonic compatibility with other people that have been entered, etc. – creating the appearance of fortune-telling. The game also has a real-time element, through which Hamtaro will occasionally speak to you of his own accord. Notebook entries can also be traded with other people via the Game Boy Color's infrared feature."