Pokémon is, to be frank, the most amazing game and franchise ever, made by Nintendo.
Basically, the classic games involve you, the trainer, going about and catching and raising wild Pokémon (animals of different types - ie, grass, water, flying) - and using them to battle other trainers who have their own Pokémon they've caught and are raising. You'll fight Gym Leaders - skilled trainers who specialize in one type of Pokémon - and get badges for defeating them. Once you've collected all eight badges, you can enter the Pokémon League and challenge the Elite Four - the leading trainers of that specific Pokémon world.
Your Pokémon gain more experience the more you train and battle them, and they can change shape and form (evolve).
Pokémon Go brings the gaming system to somewhat of a real-life version, where you can "run into" virtual Pokémon in real-life areas. You can catch them, level them up, and battle them, as far as I know. I've heard really good things about this game/app.
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