Game Dev Story because I'm a simpleton.
If you like GDS, there are a ton of Kairosoft games in the same style (and some have pretty similar gameplay). They're all $5 (well, they recently raised the price to $5.50 for some reason)... but most have a "lite" version that acts as a demo. I've never actually seen a sale on any except Game Dev Story.
Worth experiencing:
Epic Astro Story or Ninja Village Story - They're both sorta similar, but interesting hybrid of village sim and combat with open-ish progression.
Pocket Harvest (they have a newer farm sim I haven't tried) - Pretty decent but easy farming sim, unless you go for the crazy outlandish endgame stuff. Some issues like dungeon village (improving crops is tedious) but you don't really need to do it that much to unlock the normal content.
Game Dev Story, if you haven't - play as a game development company navigating the landscape from the 80s to a gen or two ago
Okay:
Beastie Bay (this one is free and actually very unintrusive ad-wise - you watch one short one before each time you play, and see one prompt to check out another Kairo game). Kind of like pokemon mixed with village sim. Runs slow, though.
Hot Springs Story - pure village/company sim
Dungeon Village - should be interesting as a fantasy village sim, but the combat is totally hands off and you'll waste a lot of time using items on your shops.
I haven't tried any others off the top of my head. Kairobotica looks interesting but sounds like it'll be similar to Epic Astro or Ninja Village.
/edit: Some (non-Kairosoft) games I've enjoyed:
FF: Brave Exvius is the only gacha game I've enjoyed, and will probably be my last
Idle Planet Miner is a good hands-off game, but it's probably only going to appeal if you like seeing numbers go up. There seem to be hundreds of games in this genre but I don't know if any are good
Roller Coaster Tycoon is an excellent port of the PC game
