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If you spend a lot of time working with PIM data — contacts, calendar, tasks, and notes — then Pocket Informant is for you. The app aggregates all of those functions into one place and can sync with a wide variety of online services.
The app is fully customizable, almost dauntingly so, to make all of the standard data views just right. In addition to calendar, contacts, and task views, Pocket Informant has a useful Today view that aggregates onto one screen all information that is pertinent for the current day.
This is my favorite office suite for Android, as it works with most popular cloud storage services. The word processor, spreadsheet, presentation, and PDF apps integrated in the suite are very good.
It is expensive for an Android app, but has proven to be well worth the price.
Android has a big advantage over iOS as third party keyboard apps can be installed. SwiftKey is one of the best on Android and the first app I install on every device. In addition to being a useful keyboard that supports both typing and spelling words by swiping in one continuous movement, SwiftKey employs predictive text entry that gets better the more you use it.
The predictive text works as follows: start typing a word and after just a letter or two SwiftKey figures out what word you want and presents it above the keyboard. This process is so accurate it is uncanny. Every Android device should have SwiftKey installed.