A Simple Name
I like the sound of Google Play, but I don't like the sound of Google Play Music or Google Play Book (that last one sounds a lot like a certain Blackberry tablet). Google should stick to using the Google Play name on the homepage, while leaving other sections with the same Google Music or Google Books monikers. Adding play to these titles just seems silly. iTunes is one name for a number of different products, and you don't hear anyone complaining that books aren't "tunes."
Better Ways to Discover New Apps
I've always felt like Google could do more to help users search for the apps they want and need. With hundreds of thousands of apps from which to choose, there are surprisingly few ways to discover new apps. You can click at the banner on top to see which apps are currently being featured, you can check out staff picks, see trending or best-selling apps. But to me, it's still too chaotic, and lacking precision and personalization.
I wish there were featured app lists, like "best apps for aspiring cooks", or "best racing apps", featured according to your interests. Maybe the platform could even learn from your purchases and begin making recommendations for you based on what you've previously bought. Another idea would be to make subcategories, or groupings, of apps within specific categories. So, within the productivity category, you could find the "best alarm apps" or "best camera apps." If you've recently bought a new Android, Google could learn from this and set aside a space for apps like Juice Defender and Onavo, helping you fight battery drainage and data overages, respectively.
iTunes, of course, are masters at this game, with tons of featured lists on the homepage. This creates more entry points for new users, and leads to more app purchases. Why hasn't Google improved upon this formula? Sheer laziness?
International Use of Google Play Music, Books and Movies
Right now, liscencing agreements restrict Google's Music, Books and Movies to the U.S., UK, Australia and Japan (and not all of those countries get all the newest features). It's frustrating to read about all the cool new features with Google Music and Google Movies and not be able to access them. It also makes it harder to get excited about innovations in syncing content when much of that content cannot be bought in Europe, South America, Asia or Africa. Many of these are emerging markets where Google Play could see a lot of growth, but they'll have to duke it out with recording and film executives before being able to rake in the dough. iTunes, on the other hand, is already liscenced to sell apps, music, games and movies in over 35 countries.