I've rebuilt a few Honda horizontal shaft engines. The quality is pretty good. But the thing is that parts for these seem to be more expensive than Briggs. After having blown the rod in my Briggs, I'd say that replacing the stock with a billet rod is highly advisable.These cost around $100, so you have to figure that into the comparison.
If I had a choice, I'd actually probably go with a Kohler. We have one guy on our group who has beat the living crap out of his 13 HP Kohler. It still runs great. The rod, lifters, and basically everything else in the engine is much heavy duty then what you see in a Briggs.