I see the lists for years 2002, 2003, 2004 and 2005 but not anything after that. May be there are too many to call favorites?

Well, favorite Acme modules were discussed by cog in 2006 in 60 Acme Modules. And there was a question about commonly used Perl modules in 2014.

Apart from that, favorite Perl modules are traditionally showcased in Perl Advent calendars:

• Perl advent calendar 2014
• Perl Advent Calendar 2013
• Perl Advent Calendars 2012
• Perl Advent Calendar
• Perl Advent Calendars 2009
• Perl Advent Calendar 2008
• Perl Advent '07
• 2005 Perl Advent Calendar
• Perl Advent Calendar
• Perl Advent Calendar 2003
• Perl advent calendar
• Perl Advent Calendar Returns
• Advent calendar

See also:

• Announcing the Phalanx project
• Help update the Phalanx 100
• Updated Phalanx 100 stats
• The New Phalanx 100
• Phalanx Phoenix: Mentored Maintenance of CPAN Modules

• Perl Monks Module Reviews section
• PrePAN - Social Reviewing Site for Perl Modules
• Most fascinating but *not really* useful modules
• CPAN module reviews by Neil Bowers
• CPAN Top 100 by Alias