The switch code hurt my eyes somewhat so I simplified the glob look up code while keeping within the bounds of those ever handy strictures

use strict;

our %TYPES = qw/ SCALAR $ ARRAY @ HASH % CODE & GLOB * IO * /;
sub get_ref_name {
  my $ref  = shift;
  my @pkgs = split '::', scalar( shift || caller );
  my $tbl  = \%main::;

  $tbl = $tbl->{"$_\::"}
    for @pkgs;
  
  my @names;
  for my $n ( keys %$tbl ) {
    push @names, map  [ $TYPES{$_}, $n ],
                 grep $ref == *{ $tbl->{$n} }{$_}, keys %TYPES;
    push @names, [ $TYPES{GLOB}, $n ]
      if $ref == \$tbl->{$n};
  }

  return map $_->[0].join('::', @pkgs, $_->[1]), @names;
}

our $foo;
our @bar;
our %baz;
*quux = \$foo;

print join(', ', get_ref_name($_)), "\n"
  for \( $foo, @bar, %baz ), \&get_ref_name;

__output__

$main::quux, $main::foo
@main::bar
%main::baz
*main::wurble
&main::get_ref_name
[download]

And that whole method can probably be done away with some B style magic.