Neo-Roguelike
Defined by Derek Yu describing his game Spelunky. Also called roguelites, these games feature a resetting progression system like Rogue's, but incorporate other gameplay elements like platforming or dungeon-crawling. The period of neo-roguelikes is either still continuing, or ended around 2015.
Hey Edmund, you've never played any neo-roguelikes? Go die in Isaac or Spelunky 400 times and we'll talk about it afterwards.