Why did Apple remove the favorites list from FaceTime (not only in iOS 8, but in Yosemite as well)? I can't figure out a reason for doing this. Some of us liked the FaceTime favorites, especially on our computers.
Comparing my iPad on 8.0.2 vs my wife's iPad on 7.1.2 it looks more like they removed "recents" and now they only list favorites since there is a "+" to add more contacts to the list.
When you double click the home button any recent FaceTime or iMessage show along the top of the screen on the iPad. I don't have 8.0.2 on my phone and I'm still on Moutain Lion on my computer so can't help there.
I have not received any missed FaceTime calls so I'm not sure where those would now show up.
You can add the FaceTime "contact" for someone in your Favorites on the Phone app. They probably figured you can just open up the phone app and FaceTime your favorite contact from there.