I spent what is likely far more time then could be thought reasonable gathering every stat I felt noteworthy and cobbled together a spreadsheet of the universally agree upon top 3 of Roy, Brodeur and Hasek. Hopefully the conversation can reach a deeper level now.
My vote is and always has been Patrick Roy. He popularized Butterfly, revolutionizing the position and he has the most cups. Kind of where it starts and ends for me.