We’re working on URL parameters for Paginated Reports in Power BI that would enable this scenario for users, and expect it to land soon. We will update the status here once it is released publicly. Thanks!
At the Microsoft Business Applications Summit we showed off an early preview of the new decomposition tree visual! It’s in the works and coming soon to Power BI. Check out this blog post for more information: https://powerbi.microsoft.com/en-us/blog/announcing-new-ai-and-enterprise-features-for-power-bi/
Great idea! We’d like to add more visualization types in the future, and the votes that this item receives will help us prioritize them.