I recently (6 weeks ago) made this exact same decision.
The only differences between the two that I could find were that the 1065 is 10 watts more powerfull per channel (20 hz-20k hz), has a USB input, HD radio tuner, and a more elaborate onscreen user interface.
I based my decision like this: I probably can not hear a difference in 10 watts of power, do not need USB input nor HD radio as I don't listen to am/fm radio at home, and once I set the settings on the reciever, I wont need the user interface any longer. So I chose the 765. Thus far I have zero complaints on it. It replaced an old Denon AVR-3802 that I have had since 2002.