The title pretty much sums it up. I enjoyed and/or was challenged by these works this year and would recommend them to others (with the caveat that you pay attention to ratings and everyone's tastes are different). On to the lists!
Books
Accidental Saints by Nadia Bolz-Weber
David and Goliath by Malcolm Gladwell
Searching for Sunday by Rachel Held Evans
The Flash Vol. 4: Reverse by Francis Manapul and Brian Buccellato
What I Talk About When I Talk About Running by Haruki Murakami
Gilead by Marilynne Robinson
Harry Potter and the Prisoner of Azkaban by J.K. Rowling
Harry Potter and the Goblet of Fire by J.K. Rowling
Harry Potter and the Order of the Phoenix by J.K. Rowling
Batman Vol. 5: Zero Year - Dark City by Scott Snyder and Greg Capullo
Special Award for Best Superhero Story I Read This Year (tie)
Superman #39 by Geoff Johns, John Romita, Jr., and Klaus Janson
Actions Comics #41-43 by Greg Pak and Aaron Kuder
TV Shows
The Amazing Race
Brooklyn Nine-Nine
The Flash
Master of None
Parks & Recreation
Movies (I don't get to see movies much anymore; I saw two of these by myself in the theater after the kids went to bed and one on a flight)
Inside Out
McFarland, USA
Star Wars: The Force Awakens
Tomorrowland
Music (Also not a very robust list)
Sound and Color by Alabama Shakes
Brother by The Brilliance
A Head Full of Dreams by Coldplay
One Wild Life: Soul by Gungor
"Alright" by Kendrick Lamar
Podcasts
Ask Science Mike
The Liturgists
RadioLab
Relevant Podcast
I'll resist the temptation to go into commentary on each of these (you can ask for explanations if you want), but those are my favorites from 2015. What media did you enjoy or appreciate this year? What would you recommend?