Olympus PEN E-PM2
The Olympus PEN-EPM2 is a point-and-shoot mirrorless camera which does exactly what a novice will need it to. For more adventurous users, there's a lot of functionality hidden beneath the skin (including the image quality of the OM-D) making the E-PM2 a potentially very attractive second camera.
Everyday 'auto everything' photography where speed, responsiveness and great JPEGs are what you need.
More involved, critical work where the lack of external controls can make more 'hands-on' operation a little difficult.