...
while ( $line = <> )
...

##</code><code>##

[2012-09-14 16:55:22,498] [ACTIVE] ExecuteThread: '8' for queue: 'weblogic.kernel.Default (self-tuning)' (com.this.perl.seems.kinda.Cool:di sconnectCORBA:154) INFO - Well this is just one line text
[2012-09-14 16:55:22,498] [ACTIVE] ExecuteThread: '8' for queue: 'weblogic.kernel.Default (self-tuning)' (com.this.perl.seems.kinda.Cool:di sconnectCORBA:154) INFO - Well this is just multiple line text
With formats Like this
***** Some other text **** then some more text on another line
[2012-09-14 16:55:22,498] [ACTIVE] ExecuteThread: '8' for queue: 'weblogic.kernel.Default (self-tuning)' (com.this.perl.seems.kinda.Cool:di sconnectCORBA:154) INFO - Well once again this is part starts with bracket and blah blah blah 

##</code><code>##

use strict;
use warnings;

my @infos;
{
	local $/;
	open my $fh, '<', 'logFile.txt' or die $!;
	my $data = <$fh>;
	push @infos, $1 while $data =~ /INFO - (.+?)(\[\d{4}|\Z)/gs;
}

chomp @infos;

print join "\n--##--\n", @infos;

##</code><code>##

Well this is just one line text
--##--
Well this is just multiple line text
With formats Like this
***** Some other text **** then some more text on another line
--##--
Well once again this is part starts with bracket and blah blah blah