Google's Android.com site has a Phone Selector Tool. https://www.android.com/phones/whichphone/#/ I just tried it and my current phone (Moto X) was NOT among the results.
@JFB: Or maybe you both had very similarly close criteria. The Nexus 9 came up for me along with the HTC9 and one other.
With the exception of the Galaxy S6/S6 Edge, the other two phones (Note 4 and LG G3) were among the three I considered before deciding on the iPhone 6 Plus. Outside of the iPhone, I REALLY like the Note 4. Google got it right on the money for me.
I was being a bit snarky, but I did put mostly the lowest end requirements and the output was mostly highest end phones.