Use $/ to skip over the bits you aren't interested in:

#! perl -slw
use strict;

$/ = "'Errors'";
while( my $junk = <DATA> ) {
    local $/ = "\n[";
    my $errorData = <DATA>;
    last unless $errorData;
    chop $errorData;
    print "'Errors' $errorData";
}

__DATA__
[2008/10/14 10:57:18] [55] DEBUG Austin::API::vendor_api - Initialisin
+g the APIGalileo
[2008/10/14 10:57:18] [41] DEBUG Austin::Suppliers::Common::Location::
+init - Setting Up Generic Locations
[2008/10/14 11:15:22] [147] DEBUG Austin::Controller::default - $VAR1 
+= {
          'Errors' => [
                        {
                          'ID' => 'noRates',
                          'Error' => 'No Rates for given dates/times',
                          'object' => '/var/website/modules/Austin/CB/
+Search.pm',
                          'Location' => undef,
                          'line' => 371
                        },
                      ]
        };
[2008/10/14 10:57:18] [245] DEBUG Austin::XV::Trip::set_time_zone - Ch
+ecking timezone with agent UK
[2008/10/14 10:57:18] [247] DEBUG Austin::XV::Trip::set_time_zone - Se
+tting timezone to Europe/London
[2008/10/14 11:15:22]
[2008/10/14 11:15:22] [147] DEBUG Austin::Controller::default - $VAR1 
+= {
          'Errors' => [
                        {
                          'ID' => 'noRates',
                          'Error' => 'No Rates for given dates/times',
                          'object' => '/var/website/modules/Austin/CB/
+Search.pm',
                          'Location' => undef,
                          'line' => 371
                        },
                      ]
        };
[2008/10/14 11:15:22]
[download]

Outputs:

c:\test>junk1
'Errors'  => [
                        {
                          'ID' => 'noRates',
                          'Error' => 'No Rates for given dates/times',
                          'object' => '/var/website/modules/Austin/CB/
+Search.pm',
                          'Location' => undef,
                          'line' => 371
                        },
                      ]
        };

'Errors'  => [
                        {
                          'ID' => 'noRates',
                          'Error' => 'No Rates for given dates/times',
                          'object' => '/var/website/modules/Austin/CB/
+Search.pm',
                          'Location' => undef,
                          'line' => 371
                        },
                      ]
        };
[download]