I've owned 3 Camry's and 1 Accord. The Accord was more fun to drive, as it had a V-6 and a six speed manual. My two most recent Camry's have V-6 engines, so they are as quick as the Accord, just not quite as much fun as they were automatics. My 03 Camry was a 4 cylinder with a manual transmission. It was good, reliable transportation with plenty of room for my family, but about as exciting as white rice.
In terms of reliability, the Accord was a 2006, and I had to get brake work done 3 times. The 4th time they went, I traded it in without repairing them. Beyond that, it was very reliable. I've heard it was a common problem around that time.
All three of the Camry's have been bullet proof. I traded the 03 because it was a manual, and my kid had difficulty with it. It never had an problems. Similarly, the 2014 and my current 2016 have been equally reliable.
Assuming you are talking new car, the Honda is probably more fun, but they've recently switched over to turbo engines. Personally, I would want to see how reliable they are over the long term before buying one myself. As such, I would give the Camry the edge on reliability.