Remaining stuff is all data, so its just on my laptop. Of my last three employers, two were big Microsoft Outlook houses, so that's how corp calendar sharing has worked.
For RSS I am running Selfoss. It's passable, but it's no Reader. After obsessing over sundry services like YouTube I finally just decided to delete the account - playlists and all, since services like that are basically huge wastes of time anyway.
Right now I'm carrying a phone that doesn't even support e-mail, never mind web, and honestly have no intention of changing the situation unless forced by an employer. It's great, the battery lasts about 2 weeks. The only real aspect of this that hurt initially was the lack of a good GPS, but since I don't own a car and live in a big city, turns out it was just another excuse to pointlessly glue my head to a screen
I haven't used desktop client for private mail for years, and I don't see that changing, because of the privacy and security concerns. I'm willing to let NSA or some other faceless foreign entity snoop my email if that will prevent people around me that can get hold of my phone or computer from reading my mail.