There are such games, but many of them are made in Japan, and they are barely reflected in the link I posted above. To avoid a long search, check it out here, I think you'll find something you're interested in
this thread.
I especially advise you to pay attention to what is called here
Flower Charm Sequel - Mansion of Captivation.Actually, this game has another name, completely different from the English one, so don't be surprised if you come across the same game under a different name. Yes, it doesn't have a particularly deep story, but in terms of 2D interactivity and animation, I haven't seen anything better in recent years.
I am not considering the games made by the most famous Japanese companies "Illusion" and "Kiss", which have a lot of 3D games with excellent interactivity and interesting and sometimes quite deep plot. But since we are talking about 2D(CGI), I will leave their 3D games out of this discussion.