The biggest thing i'm looking for now is a replacement for Google's apps suite - mainly Calendar and Docs/Drive. Something that i can use on the web and sync to my (Android) phone. If the Docs replacement just did text documents, that would probably be enough; if it did spreadsheets and text, it would definitely be enough. It would be great if it was free, and fine if it was cheap. Not Apple (no better than Google), not Evernote (poor and declining quality). What's out there?
Fastmail has a good Calendar app in addition to Email, Contacts and File Storage. It doesn't really have a Docs replacement, but it does have a Notes app. I use all of them and enjoy it quite a bit.
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.
I have slowly moved to Microsoft Office Online. It has worked fine so far. I had become a heavy GDocs user and became accustomed to the simplified feature set. I think Office Online is decent free alternative.https://office.com/start/default.aspx
I agree that the hard part (even more so for a business looking to change) is the docs suite.
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.
This is a tough one. I have seen Etherpad [http://etherpad.org/] being used a lot. The there is Zoho suite of apps [https://www.zoho.com/] but I am not sure if they really match your requirements completely.
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.
Like others, I use Fastmail's calendar now. I also run my own Baikal[1] server for CardDAV/contacts (though I guess I could run my calendar on it too, since it does CalDAV).
I use Fastmail's calendar which they made public a few months ago. I'm finding it just as fast as Google's calendar. For docs I started using Quip which is not as full featured but it offers just enough to make things quick and easy.
