What is a good email marketing service that does not require opt-in? list of 38,000?

Any online email marketing hosted service will not let you send emails to a non-opt-in list. That's because it jeopardizes their IP reputation. The only solution in this case is to buy your own software, like sendblaster.com and use an email server provided by a webhost. Another possibility is to outsource this work to somebody at a freelance site. There are techies who know how to get this kind of work done. Pay them a one-time fee and they will get the work done. Keep in mind that any URL and company names that are inserted in your messages may eventually get blacklisted by ISPs if a lot of your subscribers hit the SPAM buttons.

One solution would be to set up a hosting account with a hosting company such as Hostgator. They have a very affordable hosting account that runs roughly 9.95 per month. You will be required to buy a domain through which to mail your email. I suggest buying a .info because they are cheap. Usually around .89. Then you will need a mailer to send out the mail for you like simplemailer. You can find it by searching google, it's a free download. Host gator will allow approximately 500 email per hour. The nice thing is it can be any list. But you have to be careful of spamming laws. Then call hostgator for free support on how to use their hosting and simple mailer together. May sound a bit complicated but it really is not that difficult. Just a few steps.