You can try Mad Mimi which is owned by Go Daddy
There is also tinyletter.com which is owned by Mailchimp.
If you sign up for a domain on 1and1.com to use specific with your email marketing you can sign up for their newsletter tool which is well thought out. I have a discount code if you want it.
Finally do a forum search for ' email list' as I have a long thread about the subject.