In an Office365 hybrid configuration, you may get the following error after the Sign in to Office 365 prompt in the EAC:
To resolve, you need to do just that:
There's no direct installer available for Skype for Business, as it is part of Office Pro Plus, but if you have enough with the basic version (i.e. you're missing a couple of enterprise grade features), you can get Skype for Business by first installing Lync Basic, then install the required updates to turn Lync into Skype for Business.
Microsoft has released the Azure Active Directory Connect to the general public. Azure AD Connect replaces (although "incorporates" is a better word) DirSync as the new tool to set up synchronization between your on-premise Active Directory and Azure Active Directory, including Office 365.
The current version of Azure AD Connect is only the beginning. Microsoft has announced a lot more features, which will be made available in the next versions.
More information and installation resources: https://azure.microsoft.com/nl-nl/documentation/articles/active-directory-aadconnect/
As you probably already have noticed, does Outlook prompt for credentials when configuring Outlook for use with a federated Office 365 account, regardless of whether you've set up your intranet zoning for your ADFS server in Internet Explorer options.
Apparently, this is unresolveable as Outlook (2013 and earlier) simply does not support SSO. It is currently unknown whether a subsequent version of Outlook will have this feature.
Oddly enough, Lync does support SSO.
If OneDrive for Business stays stuck at "We're getting things ready to sync..." when syncing a new library, or re-syncing an existing one, try resetting OneDrive for Business.
Technically, you can't set up out-of-office for shared mailboxes through a normal way, because you can't log in with Outlook on those accounts. A workaround would be to temporarily convert it to a regular mailbox, grant a license to it, and then log in with Outlook, but this is not always possible or desired.
Fortunately, you can also enable out-of-office through Powershell on any mailbox, including shared and resource mailboxes.
UPDATE: this article has been merged into Configure DNS for Office 365 using DirectAdmin → Configure Lync Online.