I don't walk around staring at it either. But it sometimes saves bringing a laptop when traveling as I can field and reply to email with the phone. (And though retired I am entangled in some group activities where that is very useful.) I particularly like being able to maintain contact with friends and family via email or text rather than playing tag with attempted voice calls. The GPS/map functions have proven quite useful in navigating unfamiliar cities on foot, etc. In truth, I hardly ever make (or receive) ordinary phone calls with it.
The Big Deal(tm) is that it can play music so you can not only walk around staring at it, you can do so with earphones on so you don't even hear what's about to run you over.

The earphones that came with mine are still in the box -- somewhere. There's no music installed on it. I do confess <sniff!> yes <sob!> that I do occasionally take a picture with it. :munch:
And note that I only got one in May 2014, I had to be sure it wasn't a passing fad.