I was torn between a Honda (originally what I was leaning toward) and the Yamaha Grizzly 700 that I ended up buying. At the time, I was looking at 2015 models in the Grizzly 700 the Honda Rincon 680. I briefly looked at Honda Rubicon and Rancher models as well, but they didn't seem to be what I was looking for.

Ultimately, for me, it came down to the fact that the specs on the Grizzly were better than the comparable Honda flagship model. Also, the Honda was a new redesign/update, whereas the 2015 Grizzly was the final year of the model and clearly the most refined.
Here are some of the comparisons from when I compared for my purchase: the Grizzly had 686cc vs 675cc, better ground clearance (10.8" vs 9.2"), slightly smaller dimensions, slightly lighter weight, better front suspension travel (7.6" vs 6.9"), better rear suspension travel (9.2" vs 8.0"), larger fuel capacity (5.3 vs 4.4 gals), and slightly tighter turning radius. The Grizzly also had engine braking and diff lock. But the Honda transmission had the advantage over the belt-driven Grizzly.

Obviously, the current models have probably changed specs a bit and could've completely swapped places, but these were a lot of the reasons I chose the Yamaha over the Honda. I wasn't going to drop that kinda money just based off of "Honda/Yamaha bc duh" type comments without any real data or info to backup WHY either one was a good choice. Good luck