Do Lenders Still Do 80% Loans With Another 10% Loan if I Put 10% Down?

Good question posed by 1samtheman in Zillow Advice:

Do Lenders Still Do 80% Loans With Another 10% Loan if I Put 10% Down?

As we all know, times have changed in the mortgage world on the types of loans you can get. A couple of confirmed lenders from Zillow Mortgage Marketplace have chimed in, but we need to hear from more lenders on what is happening with 80/10/10 loans.