As far as I know, Kaitlin does not gift the music box anymore. Not sure if it can be obtain elsewhere in the game, but If not. I will miss it, and wish it was still offered.
You might want to check out the Harvest Moon series. It's got all that and more.
noooooooo
no
I wish the game had predictive text!
I always wished there was some kind of weather prediction thing or something that would tell you what the weather was going to be like, and maybe more special things that happen according to how the weather is. I remember in the original, there seemed to be a lot more frequent bulletin posts about how the weather was going to be, and then they got much less frequent with the newer games. Maybe a weather app or a part of town hall where it's posted.
Also you really should be able to change your skin color so everyone can look the way they want to look and not be forced to be white, it's not very fair/progressive haha.
My only wishes for the game are pretty simple, I wish contacts could be any color of the rainbow! I really wanted one of my characters to have red eyes, but when I found out the only contacts where natural colors I was a bit disappointed. Also, the skin color getting to be chosen without waiting hours to tan the way you want, and making it easier to get unwanted villagers to move out other than using the usual tactics of ignoring, pitfall-traps, and net-related violence.