Resources for learning MS Exchange Online and Office 365

Online lab: 

Performing an Exchange Hybrid Deployment with Microsoft Office 365

Set up a local lab:

Windows Server 2012 R2 Base Configuration for Public Cloud
Test Lab Guide: Configuring an Office 365 Trial Subscription
Set up Office 365 Directory Synchronization (DirSync) in a hybrid cloud for testing 
Setting up Directory Synchronization with the NEW Office 365

Plan and deploy:

Video training from Pluralsight - 9 courses ~ 31 hrs
MS video training and presentations available online
Office 365 - TechEd North America 2013
Office 365 - TechEd North America 2014
Office 365 - MS Virtual Academy

Identity management:

Identity Management Is Easy in Office 365
Introduction to Microsoft Office 365 Identity Management
Microsoft Office 365 Directory Synchronization and Federation Options
Microsoft Office 365 Directory and Access Management with Windows Azure Active Directory
Office 365: Configuring DirSync and Single Sign On with ADFS - Part 1
Office 365: Configuring DirSync and Single Sign On with ADFS - Part 2
Office 365: Planning and Automating for Hybrid Identity Scenarios in the Cloud – A Geeks Guide to Dir Sync and ADFS with Tools, Scripts and Deployment Hydration

How to Rapidly Design and Deploy an Active Directory Federation Services Farm: The Do's and the Don'
Providing SaaS Single Sign-on with Microsoft Azure Active Directory
Troubleshooting Active Directory Federation Services (AD FS) and the Web Application Proxy

Prepare for single sign-on - Office 365 Community
Active Directory Synchronization and Single Sign-On for Office 365
Directory synchronization roadmap

Security:

Encryption in Microsoft Office 365
Microsoft Office 365 Security, Privacy, and Compliance Overview
Multi-Factor Authentication for Microsoft Office 365
Office 365 Security and Trust
Office 365 Security: Everything You Need to Know
Security in Microsoft Office 365
Windows Azure Security Overview

Important limits:

Exchange Online limits
Exchange Online protection limits
SharePoint Online: software boundaries and limits