I'm an INFP.
I'm not sure I can type such a popular phenomenon. I doubt there are a lot of ESTJ's, but you never know.
On Pottermore this is how the members sort:
Gryffindor: 388,047 members
Slytherin: 375,926 members
Hufflepuff: 373,820 members
Ravenclaw: 356,717 members
Not that you can type people based on their house, but I imagine people who identify with the brave and fiery Gryffindor would tend towards ESXP, Slytherins with their sort of cold misunderstood rep would tend towards IXTX, Hufflepuff would tend towards SJ, and Ravenclaw with its emphasis on eccentrics and dreamers would tend towards N or T or both.
The problem is almost any type could be in any house. I wish they all had to list their types, so I had all of that data to work with!