I'm currently experimenting with Google Inbox on my Android phone. Lots of potential, but a steep learning curve. Like Gmail, the key feature for me is the automatic sorting of wheat from chaff into forums, shopping, social etc. I've also adapted to the Gmail way of doing things, and tend to dump everything into the archive/done when I'm finished with something, and then rely on searching to get it out again later. I 
file/label almost nothing.

However, my shine for anything google is wearing off and I've got my eye on a Lumia 950 when they're released. I don't really want to commit a whole lot of effort to learn the new Google Inbox new way of doing things now if I may switch horses in the future.

Just wondering what other's use as their inbox/email solution - anything else cool out there, particularly anything cross platform?

I have both Office 365 and Google App accounts (both with custom domains). Ideally I'd like an inbox solution the dealt with both, but I'm open to having one just forward things to the other if, for example, the new app only supported Office 365.

I currently use the Android Outlook app for the Office 365 account, which works fine, but the focussed inbox option just doesn't work as well as Gmail, much less Google Inbox.

One key requirement is a consistent experience between notebook and phone - whether using an app on both or using a phone app and web browser. 

Suggestions?