What focal range zoom are you looking for? And for what purpose?
I use a D800E, but lenses that work well on that should work well on the D610. I have the 24-85 kit lens (picked up for cheap). It's not a great lens, but it works OK for a general purpose travel lens. My only other zoom is the 16-35mm f/4. I was surprised when I got this lens at how much I actually liked it. I intended to use it mostly as a landscape lens, frequently stopped down to f/5.6 to f/11. However I find I use it a lot as a walk around lens too. The VR is nice, and the slow speed doesn't get in the way as much as i would have thought. It's also nice and sharp and covers a very useful range, even if there's a lot of distortion at the wider end.
The only other zoom that interests me is the 70-200 f/4. I had the first generation 70-200 f/2.8 and it was great on a DX camera for sports, but it's much less good on FX. And it's too large for my uses to carry all the time. The new f/4 version looks like a good compromise.
Surprisingly a lot of the old AI and AIs glass still works very well. I really like the 200mm f/4 for the small size and decent quality.