Emailing service - Not third party
An emailing service (like Amazon Simple Email Service, https://aws.amazon.com/en/ses/) would be nice.
The Third-Party options available (like SendGrid) while excellent as services, can be overkill (and pricey) if you just want to send simple HTML mails related to some trigger or user event.
So stupid to depend on Amazon just for this... especially since Office 365 supports Exchange.
Look at MailGun from RackSpace to see how to beat Amazon easily.
Ben Virkler commented
Hard to believe MS recommends SendGrid as the best solution given their trend of security breaches.
Arthur Markus commented
A two-way e-mail service would probably be even better! So that I can not only send a "no-reply" e-mails, but also receive a "support" e-mails!
Every service sends email. Azure needs an integrated solution.