the android intents that allows sharing between programs is one huge benefit of the android os. allows for easier workflow from taking a picture or screenshot and sharing it to your favourite apps.
Multi-window is another handy feature that i'm sure Apple will inevitably introduce into iOS in one way or another.
Enable voice commands to answer your phone by saying answer, or taking a camera photo by saying capture or cheese for example.
Widgets are a great way to have all your information at hand on the homescreen without opening an app. For example, the full size soundhound 4x1 widget allows to use soundhound without opening the app; and the results appear directly on the widget.
Chrome Remote Desktop allows you to control your computer over the internet, provided you have chrome and chrome remote desktop installed on your computer. It's quick and easy to set up.
Location aware homescreens like aviate integrate services like foursquare and provide relevant information depending on your location and time of day.
Another Homescreen replacement like everything.me is contextual aware and tries to provide relevant information from websites and apps in its handy search bar. It also auto sorts your apps into folders.
UCCW allows non-coders to make their own widgets.
IFTT which is now available on Android allows for automation
Use NFC tags for automation, shorcuts, etc.
Use Google Now for searches, keep up on sports teams, and your other interests.
If you've got money to burn, buy a galaxy gear 2 or fit for the luls
The Pebble smartwatch might be a better buy and android os allows for deeper access to your phone than iOS would.
Or wait and see if the moto 360 or LG watch lives up to the hype.