Skip the next episode in Apple TV appon Google TV

• Find your show anywhere else outside Continue Watching/​Up Next, then scroll down a bit to see the episode listing. The list is scrollable horizontally, so if you see 4 episodes in the screen width, then you can go left to see earlier episodes, or go right to see later episodes (if available). Both the poster image and the description are selectable with different outcomes: clicking the episode image starts the episode, and clicking the description takes you to an episode page first;

or

• Highlight an episode in the Continue Watching/​Up Next queue list, then click-and-hold to get a contextual menu, where you can select Go to Show. Next, scroll down a bit to see the episode listing.

If a next episode is available at that time, then you would presumably see a button for that, during the end credits.

If you have watched the latest available episode, then you will have to wait for the release day of the next episode. Then you would presumably see a button with a suggestion for something different during the end credits.

There are also AutoPlay options in the settings, for users that like to binge watch.