Shiny allows you to layout your application using navbars and navlists. These are layouts that come from the Bootstrap framework. However, navlist has disappeared as a named class in Bootstrap 3.
From the following screenshot, in the first tab (Budgets over time), we have the year, title, and genre controls, as well as the graph underneath containing content from the Movies explorer application:
On the next tab (Movie picker), we have a table with the movie selector combo box. The navbar layout gives you buttons along the top, which allows you to select different tab panels, as shown in the following screenshot: