My Team- with my apps
It seems to me with the SFB integration etc that you want teams to be an interface into O365.
What I would love to see is:
So this is a team that is mine- like Onedrive is mine. Always on the top of the side bar. Not one that is shared- and in fact the FILES tab should be Onedrive. This way I can have a portal of sorts- I can add tabs like My Calendar or My Planner, My OneNote- Or MY To-Do (from MS To-Do).
This would tie it all together- My Skype, My Phone, The teams I belong to, and I would have shortcuts (tabs organized by channels). The only thing I would suggest is not to have files in every channel- leave files in one channel pointed to Onedrive but let me create groupings of tabs for the different hats people wear these days.