For completness, the long version not using a regex. :-)

#!/usr/bin/perl

use warnings;
use strict;
use HTML::TreeBuilder;

my $html = do{local $/;<DATA>};

my $t = HTML::TreeBuilder->new_from_content($html);

my $start;
for my $td ($t->look_down(_tag => q{td})){
  $start++, next if $td->as_text eq q{End Date};
  next unless $start;
  next if $td->look_down(_tag => q{img});
  print $td->as_text;
  last;
}

__DATA__
<td><b>End Date</b></td>
<td><img src="http://welcome.hp-ww.com/img/s.gif" width="1" height="1"
+ border="0" alt=""></td>
<td>
19 Jun 2012
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