Here are a collection of links that I have compiled that offer free training on the various features and functions of your O365 tenant. The JumpStart videos are great, and I have also included some of the labs that help put the training in context for you. The Virtual labs are a really great way to get some hands on with things as well. Enjoy!
Office365 a Tour for Administrators http://onlinehelp.microsoft.com/en-us/office365-enterprises/hh534385.aspx
Office365 Setup Basics and Deployment: http://channel9.msdn.com/Shows/TechNet+Radio/TechNet-Radio-IT-TimeOffice-365-Basics-Setup-and-Deployment
Office365 JumpStart: Overview for IT Pros http://technet.microsoft.com/en-us/video/hh230676
Office365 JumpStart: Deploying Clients for Office365 http://technet.microsoft.com/en-us/video/office-365-jump-start-02-deploying-clients-for-office-365
Office365 JumpStart: Office365 Administration and Automation using Windows PowerShell http://technet.microsoft.com/en-us/video/office-365-jump-start-03-microsoft-office-365-administration-automation-using-windows-powershell
Office365 JumpStart: SharePoint Online Administration: http://technet.microsoft.com/en-us/video/office-365-jump-start-13-sharepoint-online-administration
Office365 JumpStart: Exchange Online Administration: http://technet.microsoft.com/en-us/video/office-365-jump-start-07-microsoft-exchange-online-administration
Office365 JumpStart: Exchange Online Overview for IT Pros http://technet.microsoft.com/en-us/video/office-365-jump-start-06-exchange-online-overview-for-it-pros
Office365 JumpStart: Lync Online Overview configuration for IT Pros: http://technet.microsoft.com/en-us/edge/office-365-jump-start-11-lync-online-overview-configuration-for-it-pros
Office365 JumpStart: Directory Synchronization: http://technet.microsoft.com/en-us/edge/office-365-jump-start-05-microsoft-office-365-directory-synchronization
Office365 JumpStart: Identity and Access Solutions: http://technet.microsoft.com/en-us/edge/office-365-jump-start-04-microsoft-office-365-identity-and-access-solutions
Office365 JumpStart: Office 365 Jump Start: Microsoft Staged Exchange Online Migration: http://technet.microsoft.com/en-us/edge/office-365-jump-start-08-microsoft-staged-exchange-online-migration
Office365 JumpStart: Office 365 Jump Start : Hybrid Options with Exchange Server & Exchange Online: http://technet.microsoft.com/en-us/video/office-365-jump-start-09-hybrid-options-with-exchange-server-exchange-online
Office365 JumpStart: Exchange Online Archiving & Compliance: http://technet.microsoft.com/en-us/video/office-365-jump-start-10-exchange-online-archiving-compliance
Office365 JumpStart: SharePoint Online Extensibility and Customization: http://technet.microsoft.com/en-us/edge/Office-365-jump-start-14-sharepoint-online-extensibility-customization
Office365 JumpStart: Office 365 Deployment Overview: http://technet.microsoft.com/en-us/video/office-365-jump-start-15-office-365-deployment-overview
Microsoft Virtual Academy - Administering Office 365 for Small Businesses: http://www.microsoftvirtualacademy.com/training-courses/administering-office-365-for-smb
Virtual Lab - Office 365: Creating a Visual Web Part Sandboxed Solution for SharePoint Online: https://cmg.vlabcenter.com/lab/1f4ab5ce-8d92-460a-ad59-b98eb0ec6dce
Virtual Lab - Office 365: Creating Custom Lists in a Sandboxed Solution with SharePoint Online: https://cmg.vlabcenter.com/lab/2142cc1a-0e9b-4803-9b49-af716102e9d1
Virtual Lab - Office 365: Using Access Services with SharePoint Online: https://cmg.vlabcenter.com/lab/ca757778-6b03-4da3-a20c-19a13326cd65
Virtual Lab - Office 365: Leveraging Excel Services in SharePoint Online: https://cmg.vlabcenter.com/lab/92c38c07-3991-48e6-bb4b-3eb4d0f49633
TechNet Radio – Using Network Monitoring to troubleshoot O365: http://channel9.msdn.com/Shows/TechNet+Radio/TechNet-Radio-IT-Time--Using-Network-Monitoring-to-Troubleshoot-Office-365-Connectivity-Issues-Part-
TechNet Radio IT Time – Troubleshooting Mail Flow in Office 365: http://technet.microsoft.com/en-us/video/technet-radio-it-time-troubleshooting-mail-flow-in-office-365.aspx
TechNet Radio IT Time – Service Management Best Practices for Office365: http://technet.microsoft.com/en-us/video/technet-radio-it-time-it-service-management-best-practices-for-office-365
TechNet Radio IT Time – Troubleshooting Single Sign on for Office365: http://technet.microsoft.com/en-us/video/technet-radio-it-time-troubleshooting-office-365-single-sign-on-with-fiddler-2
TechNet Radio IT Time - IT Time –TechNet Radio: Active Directory Tools for Troubleshooting Office 365: http://blogs.technet.com/b/blainbar/archive/2012/01/06/technet-radio-it-time-active-directory-tools-for-troubleshooting-office-365.aspx
Office365: Planning and Automating for Hybrid Identity Scenarios in the Cloud – A Geeks Guide to Dir Sync and ADFS with Tools, Scripts and Deployment: http://technet.microsoft.com/en-us/video/tdbe12-office365-hybrid-identity-scenarios
Troubleshooting Office 365 and BPOS-S Services Using MOSDAL 4.0: WMV Download | WMA
Office365: Lync Coexistence OnPrem & Office 365 (Lync Online): http://technet.microsoft.com/en-us/video/lync-coexistence-onprem-office-365
