perhaps Regexp::Common is what you are looking for:

use strict;
use warnings;
use Regexp::Common qw /URI/;

my $http_and_https = qr{$RE{URI}{HTTP}{-scheme=>'https?'}};

while (my $line = <DATA>) {
    while ($line =~ m#($http_and_https)#gc) {
        print $1 , "\n";
    }
}

__DATA__
a) black and white stuff http://test.com/testing" blah blah
b) rain in spain blah blah https://chewu.to/x7w
c) http://udsu.de/823; test this
d) Just testing ... http://go.to/xi8jwe #goodtimes
e) Super dooper. Looks nice! http://22.com/xx / http://p.de
[download]

Output:

http://test.com/testing
https://chewu.to/x7w
http://udsu.de/823;
http://go.to/xi8jwe
http://22.com/xx
http://p.de
[download]