$sql = "
            SELECT default_mailsystem.*,
                recipent.first_name AS modtager,
                sender.first_name AS afsender

            FROM default_mailsystem

            LEFT JOIN default_profiles AS recipent
                ON recipent.id = default_mailsystem.id

            LEFT JOIN default_profiles AS sender
                ON sender.id = default_mailsystem.id
    ";
    return $this->db->query($sql)->result();

Not unique table/alias: 'default_users'

SELECT `default_mailsystem`.*, `default_users`.`username` AS modtager, `default_users`.`username` as afsender FROM (`default_mailsystem`) LEFT JOIN `default_users` ON `default_mailsystem`.`recipent` = `default_modtager`.`id` LEFT JOIN `default_users` ON `default_mailsystem`.`sender` = `default_afsender`.`id` ORDER BY `id` DESC

Filename: /hsphere/local/home/brightmedia/reuseable.dk/modules/mail/models/mail_m.php

Line Number: 13

$this->db->select('mailsystem.*, users.username AS modtager, users.username as afsender')
            ->join('users', 'mailsystem.recipent = modtager.id', 'left')
            ->join('users', 'mailsystem.sender = afsender.id', 'left');
        $this->db->order_by('id', 'DESC');
        return $this->db->get('mailsystem')->result();

$this->db->select('mailsystem.*, users.username AS modtager, users.username as afsender')
$this->db->join('users', 'mailsystem.recipent = modtager.id AND mailsystem.sender = afsender.id', 'left')
$this->db->order_by('id', 'DESC');
return $this->db->get('mailsystem')->result();

<?php
$this->db->select('mailsystem.*, modtager.username AS modtager_name, afsender.username as afsender_name')
    ->join('`users` `modtager`', 'mailsystem.recipent = modtager.id', 'left')
    ->join('`users` `afsender`', 'mailsystem.sender = afsender.id', 'left');

$this->db->order_by('mailsystem.id', 'DESC');

return $this->db->get('mailsystem')->result();

$this->db->select('mailsystem.*, users.username AS modtager, users.username as afsender')
$this->db->join('users', 'mailsystem.recipent = modtager.id AND mailsystem.sender = afsender.id', 'left')
$this->db->order_by('id', 'DESC');
return $this->db->get('mailsystem')->result();

$this->db->select('mailsystem.*, users.username AS modtager, users.username as afsender')
$this->db->join('users', 'mailsystem.recipent = modtager.id AND '.$this->db->dbprefix('mailsystem').'.sender = '.$this->db->dbprefix('afsender').'.id', 'left')
$this->db->order_by('id', 'DESC');
return $this->db->get('mailsystem')->result();