The most obvious is of course
Dungeon Keeper
Wherein you must put various accoutrements in your evil dungeon so that you can attract stronger and more specialized creatures. These creatures are primarily used for defending your dungeon from heroes and, in the sequel, attacking rival dungeons.
Various methods for attracting monsters include:
- Building large enough rooms of various types
- Creating specifically shaped rooms
- Hoarding gold
- And I think sometimes creatures will come because you have enough of a weaker creature?
Had one sequel, Dungeon Keeper 2, and various spiritual sequels recently, like War for the Overworld and the Dungeons series.
Lesser known examples:
Holy Invasion of Privacy, Badman! What Did I Do To Deserve This?
This one is more obscure in its methods - you must attract monsters into a semi-living ecosystem by building your dungeon in specific shapes, releasing slimes that will put nutrients back into the ground, then breaking the nutrition filled blocks to release stronger monsters. Itāsā¦very difficult to understand, for me at least.
These monsters will defend your dungeon from heroes, like in Dungeon Keeper, but you have far less control of them. This is a more hands-off version of the game.
It received a sequel, also for the PSP, but Iām not sure of any details there.
Dungeon Maker series
These 3 games by Global A Entertainment are a little different than the previous games. Theyāre structured as a JRPG, including dragon-quest-like battles and dungeon exploring. However, you also make the dungeon yourself. The conceit is that you are building a dungeon to attract the monsters from the country side and away from the village. Then you go into the dungeon and fucking murder all the monsters.
This is the core loop - attract monsters, kill 'em, get resources to make the dungeon bigger/deeper, attract more powerful monsters, etc.
Attracting monsters is similar to Dungeon Keeper, but is also focused on the shape of the dungeon more specifically IIRC. Things like making dead ends or bigger rooms can make a big difference.
The game was kinda ported kinda sequeled, I think, to the DS as āMaster of the Monster Lair.ā It got a later sequel also on the PSP.
Some of the characters and monsters would later feature in My World My Way, a DS game thatās kind of similar except youāre a bratty princess reforming the world itself so you can kill specific monsters. Thereās also Adventure to Go!, again featuring some of the same monsters, but this time itās about, likeā¦simulated dungeoneering or something? I canāt remember.
I canāt think of any others, but Iām sure there are more.