Well keeping it fair not bringing Root/ROM/Jailbreak/ in:
1: Custom icon packs & and launchers which can dramatically change the way your home screen behaves and looks. For example, in Smart Launcher 2 i can swipe up to open an app right on my home screen. i also can double tap to turn off the screen if i want.
2: File browser. this one is nice, just like a regular one on your desktop. iOS has some apps like this but they aren't true file browsers.
3: Sideload APK's (android apps) and files. This is nice feature to have. Also, probably even more cool is the ability to install 3rd party stores, like Fdroid, amazon app store.
4: Google Now. i can bring up the voice screen without pressing a button and now it's everywhere pretty much in any app including the lock screen (although it's not working atm, hopefully soon). iOS 8 i think will get Hey siri so your covered here.
5: Google play store. So here's a nifty little feature. I can go to the play store, log in, download an app, and it will push it to my Nexus 7 so long as i have a WiFi connection.
6: Search in recents. In Android L in the keynote the Lady showed off the chrome tabs. There also was a search bar at the top, which is nice.
7: Animation options. So, in iOS 7 you can change the way the animations look but not the speed. In android (and upcoming L) you can do this in the developer options.
8: Lastly, Android easter eggs! Tapping the Android version in 4.4 will get you some nice tiles of all android desserts codenames. 'course this works on past Android devices too.
Shows Google has some humor. And these features gets me
High on Android everyday.