To put this in context, in many people's view Java never delivered on its "Write Once Run Anywhere" promise either.
At best what you got was "Write Once Debug Everywhere" or "Write Once Looks like crap Everywhere"
The successful CLR based applications have all been written using a graphical framework that is native to the target platform.
For example the following highly successful linux applications where written using c# bindings to GTK called GTK# and not using winforms like you would expect:
Banshee - music player like itunes
fspot - photo manager
TomBoy - notes program
GnomeDo - Quick launcher and dock
Equally successful windows .net applications are not written using GTK# (even though it is cross platform) they are written using winforms or WPF.
When google came to make Chrome they didn't try to use a cross platform GUI framework, instead they choose to use native GUI frameworks on each platform. Why? because that way the application, fits properly into it's environment, that way it looks, feels and acts like its native to the operating system its on.
Basically when you try to have write once run anywhere you have to make serious compromises and what you end up with is something that doesn't really work right anywhere.
The industry has largely given up on the lofty goal of write once run anywhere, as a nice idea which didn't work out in practice.
The best approach with mono/.net is to share your lower level binaries and to use a native gui framework on each target platform. GTK# on linux, winforms or WPF on windows, CocoaSharp on Mac. This way your application will look and feel like a native app.