Casual games focusing on constructing and developing farms, cities, worlds or other entities while completing various smaller tasks to progress in the game. 

ADVENTURES

Games where players complete tasks and collect various items in order to progress. Often the core gameplay layer in these games is pretty light (tapping objects or characters) and the emphasis is on story and collecting aspects.

Example games: Simpsons Tapped Out, Kim Kardashian Hollywood, Harry Potter: Hogwarts Mystery

BREEDING

Games which revolve around breeding characters with each other to get new characters (e.g. breed two dragons to get a new type of dragon).

Example games: Dragon City Mobile, Monster Legends, Fallout Shelter

TYCOON/CRAFTING

Games that revolve around constructing, management of resources/production and other "tycoon" mechanics. For example, games where you manage city or a farm and try to grow it successfully are regarded as tycoon games.

Example games: SimCity BuildIt, Township, Hay Day

SANDBOX

Games where players are free to roam in the game’s world, playing around and creating things of their liking. Heavy emphasis on user-generated content.

Example games: Minecraft, Roblox, Growtopia

TIME MANAGEMENT

Games where players have to complete various tasks quickly, accurately and in right order (e.g cooking games)

Example games: Cooking Craze, Cooking Fever, Restaurant Dash

Games with a so called "idler" mechanics, meaning the game plays itself even if the application is closed. Additionally, when the application is open, players can see that progression is made all the time - even if they're not doing anything themselves (e.g. money keeps generating).

Example games: AdVenture Capitalist, Idle Miner Tycoon, Tap Titans 2