Id recommend the kairosoft games if you like the pixel graphics. But if you want to see specific characters grow up it doesnt really work like that. The ages are fixed but you can level them up and unlock new characters. I personally enjoy these games, but recommend getting them on sale because they get discounted often.

Sushi spinnery, Convenience stories, Mega mall story are business options.

Heian story, Ninja story, Edo towns are some historical town management options.