Sounds like the output transistors are failing and blowing the fuses. It could also be a faulty power supply to the output stage.
These things tend to run hot and heat (over time) kills electronics. Hard to say what could be bad, since they keep replacing the same parts and it still fails.
My 2807 is about 2 years old, too. Knock wood, it's given me no problems. However, there have been some reasonable upgrades/changes to AVR's during this time, so I am considering retiring it and getting a newer model.
I think I will go with a 4310. The 3310 is also a consideration. I'm not a Denon fan-boy, but they are pretty hard to beat. I've looked at the Pioneer's, Yamaha's and the Onkyo's. I also checked out a few of the boutique brands and online manufacturers (Emotiva, Outlaw, etc.) I think the 4310 is the best out there, in my price/feature-need range, if I can get it for a good price off of MSRP.
You might be able to save a few bucks, if the 3310 will fit your needs.