Interesting question. I'll post a few of my thoughts, category by category.
Books - I personally do not believe that any technological advances can improve the book-reading experience. Curling up on a couch with a good book or sitting on a park bench on a lovely day with a paperback are hard to change. There isn't really any reason to make the book lighter, and the print shows up pretty well. I don't see how turning the book into an electronic gizmo could make it easier to read, and it would complicate matters a lot. E-books might be cheaper, but even now the majority of the cost of a book is not the paper but the labor involved in making it. You could add sound and animation, but that would make it something more like a portable DVD player and not a book. So I believe that books will be largely unchanged in the future. Maybe less popular. Or maybe not. Printing technology may be a bit different, though - we may yet see the POD kiosk actually work.
Movies - now there I can see some technological improvements. Imagine pictures that are giant 3D holograms that you can view from every angle. And technology may someday add the capability for you to experience the movie with five senses rather than two. Computerized special effects may allow you to show virtually anything on screen - or floating in midair with no screen, as the case may be.
I have to wonder if the rise of impossible special effects may spur a backlash. This could simply be directors chosing to leave out special effects to avoid the temptation to substitute effects for good storytelling. Or it may be a revival of live stunt and magic shows for people who would rather have a dosage of analog special effects.
I predict pop music may show a more Asian influence in the future, but that is all I am willing to predict there.
Cards seem to have endured for centuries, and I think a couple hundred years into the future we will still see some games that involve the traditional card deck. Some are likely to be recognizable (I don't think poker and blackjack are going to go out of style for a long time). Some may be completely new inventions or fads. And there are likely to be regional games as well. Out of curiousity, is euchre only played in the Great Lakes region? Board games may also be around for a while, especially the simple classics like Checkers, Chess, Go, and Chinese Checkers. Their popularity may rise and fall, but I think any game that has been around for centuries (or I believe Go has been around for millenia!) is likely to endure.
Sports seem to evolve and change, but there are a few that stay with us. Soccer comes to mind. Usually, it seems the simpler ones achieve international popularity, while the ones with more arcane rules (American football, cricket, etc.) tend to be confined to one country. There's likely to be a few new sports that spring up and others that go out of popularity for no apparent reason.
I remember reading in a Larry Niven book where the "drug" of choice was called a droud. It plugged directly into the user's head to stimulate the pleasure center of the brain. You may not be surprised to hear that these devices actually exist. However, it seems the effect they produce is nothing spectacular in humans, even though it can seemingly be overwhelming in rats and other animals. I don't exepct an "automatic pleasure device" to be very popular in the future.
I do not know what means of transportation will be widespread in the future. But I will bet that if it is something that is widely affordable and takes any skill to operate, people will race them.