2011-04-21	mikeraz	Log parsing exercises for Perl beginner - reasonable?	SoPW
2009-09-11	paragkalra	Exercises on PERL	SoPW
2007-03-16	Mike_Hamilton_Perl	New 2 Perl Programming - Anybody have any good reference or data structure exercises I could work on?	SoPW
2006-05-27	mikasue	Real Life Perl Exercises	SoPW
2006-05-18	jesuashok	Perl Exercises	SoPW
2005-04-14	ropey	Learning Exercises	SoPW
2005-04-13	David Arnold	Parsing Exercise set	SoPW
2003-11-26	phenom	Exercises Node	PMD
2003-09-19	IlyaM	Combine LWP::Simple with XML::LibXML to download Go exercises	CUFP
2003-04-30	hiddengeek	exercise in regex	SoPW
2002-08-10	Anonymous Monk	Exercises	PMD
2002-08-01	bilfurd	Simple LWP Exercise	Med
2002-07-18	Foncé	Learning Exercise	SoPW
2002-07-17	TuXaS	perl exercises for newbies	SoPW
2002-03-17	munchie	Beginner's Object Orientation Exercises?	SoPW
2002-02-07	talexb	Roff done as an OO exercise	Craft
2002-02-06	Anonymous Monk	practice exercises	SoPW
2001-03-18	jcwren	An exercise in "That's not the way I'd do it" (TNTWIDI)	Med
2001-03-16	deprecated	Regex Exercise	SoPW
2001-01-26	ailie	a learning exercise - diary program	SoPW
2000-10-25	japhy	Fun Regex Exercise	Med
2000-04-25	sethg	a data-compression exercise	Obfu

If none of those links suit you, read through Seekers of Perl Wisdom and try to solve the basic problems by yourself without looking at the replies.