It also is probably worth noting that, while Apple is plenty evil in its own ways, if you're looking to avoid the rampant data collection of Google, Apple is significantly better in that regard.
It still surprises me a little that there is no web-app capable of editing ODF files. This would allow the email/calendar etc concept to be carried over - host the content (in this case files) on a server in version control, and allow users to either keep an offline copy that syncs, or access via a web app.
From a personal usage view, I disagree with your statement that Apple is no better than Google. No, their software is not open source and doesn't run on any device you want. But their software is also not intended to capture all your personal information and use that to show you more ads. It's basically a perk for using their hardware.
For writing and other docs, I personally use Dropbox but I know that is not the same as working in the browser itself.
Etherpad, Ethercalc and Mailpile (and more!) are all available on top of Sandstorm [https://sandstorm.io/apps/] - which basically makes it easier to manage them all.
https://play.google.com/store/apps/details?id=org.dmfs.calda...