@kelly Azure don’t have any service like AWS SES. A popular one is SendGrid – SendGrid is in the Windows Azure Store, but there are definitely other options.
If you are looking to integrate third party SMTP providers then SendGrid is best. Other popular ones are MailChimp and Dyn.
Amazon SES is very cost effective but not very feature rich for your email campaigns. For small requirements, you can implement any of them easily in your applications.
These third-party solutions are not very cost effective if you are looking to send hundreds of millions of emails daily (say if you run a large marketing campaign). Your bills shoot like anything. In that case, your organization should consider setting up their own SMTP relay farm.