Procedural Geometry and Textured Quads
Nearly every 2D game uses sprites and tilesets, in one form or another. Games such as Phantasy Star, Zelda, Final Fantasy, Dizzy, Contra, Donkey Kong, Mario, Sonic, and others, have all used sprites and tiles. Some games use them in a conventional and obvious way while some less so. But the very fact that jargon terms exist for these two concepts is testament to their prevalence in games. The sprite is to 2D games what a mesh is to 3D games; and tilesets find their closest 3D equivalent in the static and modular geometry of the scene.
If your game has a player character that runs around the level, killing enemies and opening doors, and jumping from platform to platform, then your game needs ...