Welcome to ESRI Blogs
ESRI has a Channel on YouTube called ESRI TV which serves as a good place to find helpful videos and demos. It’s worth checking out and mining for any areas that interest you.
Here are some geodatabase related entries:Managing Geodatabase Topology with ArcEditorArcGIS Diagrammer - Demonstration VideoArcGIS User Guide for Water Distribution Network Editing Template
There is also a handy 4 part Data Management series:Create, Update, and manage asset information using ArcGIS DesktopExperienced desktop user employing ArcEditor in a Planning DepartmentExperienced desktop user employing ArcEditor in a PWDData Replication