"thanks email" is correct and usable in written English.
You can use it to thank someone for sending you an email. For example, "Thanks for the email you sent me - it was really helpful!".
It's hard to quantify just how much more efficient the world has become thanks to email, both in sending information and in basic communication such as setting up a meeting or an introduction.
First, thanks to email delivery services like SendGrid, these companies don't have to manage their own mail servers to receive incoming commands.
Then when you get home, send a note of thanks through email.
For example, if someone agrees to speak to you for an informational interview, you might send them a gift in thanks or email them articles they'd find relevant for their work; however, this turns the encounter into a transaction.
Thanks for reading and thanks for emailing.
If I went to a job interview and someone said, "The job isn't real, the boss is a chimp," I'd probably be like, "Oh, standard, thanks for emailing me back".
Given the dramatic decline in the utilization of conventional postal services---thanks to email, UPS and FedEx, not to mention the new world of social networking---there really is no way for the USPS to break even without radically reinventing itself and ending certain services like Saturday delivery, closing many post offices and raising the price of a first-class stamp to a dollar or so.
Thanks Mr. Hertzberg, and Merry Christmas (it's just as much yours as it is mine) — James Dear James, Thanks for your email, and thanks especially for the spirit in which you wrote it — the Christmas spirit, which in your case, I've noticed, seems to be a year-round thing.
Anyway, I'm off - thanks for your email and company.
