The only other way I can think of (others may know better) would be to parse the output from ls or dir with the appropriate sort options. but that is much harder than using a hash to control a sort.

#! perl -sw
use strict;
my %times;
opendir DIR, $ARGV[0] or die "Couldn't open $ARGV[0]; $!\n";

my @sorted =
    sort {
        $times{$b} <=> $times{$a}; # Was cmp D'oh! Thanks [dws]
    }
    map {
        $times{$_} = (stat $_)[9]; $_;
    }
    grep{ 
        -f $_ 
    } readdir DIR;

closedir DIR or warn "Couldn't close $ARGV[0]; $!\n";
local $" = $/;
print "@sorted\n";
[download]

You might need to change the stat index from 9 to either 8 or 10 depending upon your needs.

I also think that testing using -f is safer than using your match to rid yourself of '.' and '..', though if your on a system that supports and uses symbolic links for example, you might need to bolster the grep test.

Oh! And if you want them oldest first, switch the order of $a and $b of course.

Updated to correct cmp -v- <=> error. Thanks dws.