There are now many Perl6 Examples. Here are some of my favourite (no particular order):

• Perl6 contains a list of examples I have started to work on (very early days). More of a Tutorial/How to.
• http://github.com/perl6/perl6-examples - a growing list of perl 6 examples. Very good. I contribute to many areas.
• http://perlgeek.de/en/article/5-to-6 - is a tutorial, but therefore can be at least a start of examples
• http://rosettacode.org/wiki/Category:Perl_6 - a large number of the Rosetta examples have been implemented as Perl6.

Enjoy.