My.com is an international spin-off of Mail.ru - Russia's largest email provider.
New mail app integrates with most email providers out there. You also can register your 10x bigger than Gmail mailbox. One advertised feature is password-free authentication for @my.com address. Instead it's SMS-based, like WhatsApp.
The app is very-well made. However it doesn't offer anything new in terms of UX or productivity-increasing features. Unless you are eager to use @my.com, it would be pretty had to switch from your existing mail app.
That said, considering the app empire they are up to build with myChat and myGames, definitely worth tracking.