Others can vouch for their own brands, as I owned a Denon AVR-3300 back then (in the box now), tested out the Denon 1713, Marantz nr 1603 before settled for the sr5007, which I'd say a good candidate:
4 HDMI in => 6 HDMI in, including 1 front
1 HDMI out (checked)
At LEAST 100 w/ channel (checked)
Minimum 7.1 ==> 7.2
GUI interface that will show volume on TV (wife insists) ==> Checked, but is it from your TV screen that shows the Volume bar?
Some type of self tuning setup (Audyssey, the Pioneer one, etc.)... coming from having nothing ANYTHING would be an improvement, but I guess better is better =>Audyssey MultEQ XT
A GOOD video upscaling processor ==> advertized as Good, how you define may be different?
Something that is good build quality ==> seems good quality buid to me
Bonuses you may not need, but may "grow" into later: 3D pass through, 7.2 pre-outs, USB/iPod front (funny, wife insists), internet radio (I actually love it)...
The Marantz sr5007 has its own "clone" Denon cousin if you look hard enough on this forum, which is better bang for the buck. That said, if you call or show up at a Marantz dealer, you may get what you want for that $700, $750 budget. It was an advice on this forum when I pressed a dealer for a lower price, and was surprised when the sales guy asked me back:"how much you want to buy this one for". The worst it could happen is No, but it was the "best" to me, as I regretted not asking for even a little lower
Sorry I don't change receivers that many over the years, thus have no experence on other brands. Thanks to BB and Future Shop generosity, I was able to evaluate a few Denons and Marantz at home before decided on this one.