The /g modifier is working just fine, but your regex is too greedy (see perlreref). Change .* to .*?

$string = "<name=\"foo\"><anystring 1 /></name><name=\"bar\"><anystrin
+g 2 /></name>";

while ($string =~ m/<name=\"(.*?)\">(.*?)<\/name>/g)
    { print "$1, $2\n"; }

__END__

foo, <anystring 1 />
bar, <anystring 2 />
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If this is XML, I recommend using a parser instead of regular expressions. It will save you a lot of trouble.

As an aside, you could avoid excessive back-whacking in your string by using a different quote character. For example, switch to single quotes. In my opinion, this makes the code easier to understand and maintain.

$string = '<name="foo"><anystring 1 /></name><name="bar"><anystring 2 
+/></name>';
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Similarly, in your regex, there is no need to escape ", nor is there a need to escape / if you switch to a different delimiter, such as {}

while ($string =~ m{<name="(.*?)">(.*?)</name>}g)
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