I think the menu sounds might be possible in RPGMaker XP (which is the only version of RPGMaker that I ever looked at) using Ruby scripting. It's not going to be easy, but it just might be possible.
The main alternative option would be to use a general-purpose game engine like Godot (or Unity or Unreal, but Godot is free and the others are not). This would make it easier to attach sounds to menu items, but would make everything else harder because there is less out-of-the-box functionality.