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I've owned both bikes. I had an NC700x, which I really enjoyed. But someone crossed the center line into my lane and totaled it while I was on it.
I really enjoyed the low center of gravity, which made it feel like a much lighter bike that it is. The "frunk", the front glove compartment/trunk area, was really nice. I liked having the lockable, waterproof storage. I disliked the location of the gas filler, under the rear seat. It was only a hassle when I traveled though. I strap a bag to the rear seat when I travel, and had to unsnap it and move it for every fill up. The rear bags are pretty small, but so are the ones that come on the Versys. I loved how narrow the Honda is even with the bags on.
After my Honda NC700x got totalled, I couldn't bring myself to buy another one. I had done too much work (customization, emotional investment) to start over with the same bike. So I ended up getting a Versys. I had considered the Versys when I first bought the NC700x, but ruled it out for a couple reasons (vibration, mpg, windshield, looks). But in the 2015 redesign, I felt like all those had been addressed. So I bought one. I like that it has a little more total power, however it does have less torque down low. I like that it has decent gas mileage, although not as good as the Honda. It has a great "feel" to it though, and it might be my favorite bike out of the 13 bikes I've owned. It definitely does feel heavier, but it's not so much that it bothers me.
Good luck in your choice.