Yes, mine (for external e-mails) typically says somethingalong the lines of “I’m out of the office until [date/time] and messages to this address are not monitored in my absence. I will respond as soon as possible on my return. If your message is urgent, please re-send to my assistant [email address] or telephone [assistant’s number]” Internal it will usually just say “I’m out until [date/time] pass any urgent enquiries to [co-workers] ” although my assistant and a couple of others have my home number and personal e-mail so can get hold of me in a genuine emergency, and I will sometimes speak to them in advance if I’m willing to lower the bar on what amounts to an emergency, but I would not expect any of my employees to do that !
While I hypothetically could reach my email, while I hypothetically do have my phone on hand, and while I hypothetically do have access to WiFi, I’d rather enjoy time with my family. My kids are growing up at the speed of a supersonic jet, and if I blink one more time, they’ll be 35. And I’ll be 73. And I don’t want that.

Set your automatic out of office reply under the Outside My Organization tab. This is for people outside your company such as clients and suppliers. You can copy what you typed in for Inside My Organization or you can put something else for people outside your organization. You can even untick the “Auto-reply…” box if you don’t want to send them an automatic reply while you’re away.
“The world is serious enough as it is - people need, and usually appreciate, an unexpected moment of levity in their day,” he says, when quizzed about how recipients might respond to such an OOO. He also confides that he himself has dispensed with auto responses altogether – though not for idealistic reasons. “The last time I tried to set one up, I botched it so badly that somehow it resent every single email in my outbox from the previous year - client emails, firing notices, literally thousands of emails.”