Take the code and chop off everthing after EOT and see if you can sort the $logpath file numerically.

#!/perl/bin/perl -w

use CGI;

$q = new CGI;

for $key ( $q->param() ) { $form{$key} = $q->param($key); }

$logpath = "data/browser.dat";  

$browser = $form{'browser'};

open (LOG, "$logpath");
@data = <LOG>;
close(LOG);

$not_found = 1;

if($browser) { 
    open (LOG, ">$logpath");
    foreach $line(@data) {
        chomp($line);
        ($fcount,$fbrowser)= split(/\|/,$line);
        if ($fbrowser eq $browser) {
        $not_found = 0;
        $fcount = $fcount+1;
        print LOG "$fcount|$fbrowser\n";
        }
        else {
        print LOG "$line\n";
        }    
    }
    close(LOG);

    if($not_found) {
    open (LOG,">>$logpath");
    print LOG "1|$browser";
    close(LOG);
    }
}

# prints out log and form to browser

print "Content-type: text/html\n\n";

open (LOG, "$logpath");
@data = <LOG>;
close(LOG);

foreach $line(@data) {
chomp($line);
print "$line<br>";
}
close(LOG);

print <<EOT;
<FORM ACTION="basic.pl" METHOD="POST">
<SELECT NAME="browser">
    <OPTION VALUE="microsoft">microsoft</OPTION>
    <OPTION VALUE="netscape">netscape</OPTION>
    <OPTION VALUE="aol">aol</OPTION>
    <OPTION VALUE="mozilla">mozilla</OPTION>
    <OPTION VALUE="opera">opera</OPTION>
    </SELECT>
<INPUT TYPE="SUBMIT" VALUE="Submit">
</FORM>

EOT
[download]

Sounds like you could use a hash.

my %browsers = ();

foreach ($line) {  # eg '12|netscape'
    $browsers{(split(/|/))[1]} = (split(/|/))[0];
}

print sort { $browsers{$a} <=> $browsers{$b} } keys %browsers;
[download]

UPDATE: Looks like it's getting late... the var in the foreach loop should be $_, not $line (fixed), thereby providing for the implicit split.