It started with Metroid and Castlevania and now mixed together as an indie genre. A metroidvania is a non-linear style game with lots of secrets to uncover, bosses to fight and huge exploration.

Roguelike games are game that are similar to the classical Rogue game where you die and start from the beginning of the game but every run is different and it gets better with every run.

Started off with Super Mario Bros, It's a very popular genre, even today you can find these games.