I know that's kind of a wide question, but I feel they all fit into the same category for me - things like Dragonvale, Fairy Farm, Castle Story, and so on. I really like the "tend your garden/castle/town/shop/pet" games, but it seems like they're hit the hardest with terrible freemium models - IAP is typical, but a lot of these games will make it nearly essential to play (like always having really long timers that can only be sped up by spending $$ for in-game currency). The ones I play regularly are Dragonvale and Fairy Farm; I have Castle Story and Tiny Castle but they're starting to become more IAP-focused and I wanted to see if anyone had any suggestions or recommendations. Thanks in advance, I get such satisfaction from taking care of virtual pets, worlds, and gardens.. there might be something slightly wrong with me, but hey.
Maybe Fish Farm 2 is the right thing for you. And Jurassic Park Builder, but beware: It has very long timers at higher levels.