If you're passing the globals around because they really are singletons in your app, then make wrapper singletons. In your main:

  MyDatabase->configure(...);
  MyCGI->configure(...);
  MyTemplate->configure(...);
  ...
  my $action = MyCGI->get_param('action');
  if ($action eq 'start') {
    view('start');
  } elsif ($action eq 'finish') {
    view('finish');
  }
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And so on. Configure your singletons, then let your modules also use those same singletons.