I stopped carrying my cell phone to theaters because I kept forgetting to put in on vibrate.

I stopped carrying my cell phone to business meetings because I didn't want to be distracted by the vibrating.

I stopped carrying my cell phone to restaurants because I wanted the people I was with to think that no one was more important than them while we were together.

I stopped carrying my cell phone to my mother's because she outranks anyone who could possibly call.

Except for travel, I stopped carrying my cell phone altogether.

I'm not sure I would go the the extreme of no cellphone like some of OP's examples, but I'm getting closer.

Now, the only reason I have a cell phone instead of a land line is for travel and emergencies.

[Aside: I love the idea of a voice mail greeting that asks the caller to email me instead. But I won't do it. It just seems like a rude way to treat someone who bothered to call. I'll keep checking voice mail (sigh).]