It is likely that your list can be generated in several ways (and probably more efficiently than the following answer). Please consider this as one alternative. I hope that I have not misunderstood your requirements; if so, then please let me know.
Insert this formula in Cell I3 (based on the sample data shown below):
=query({B3:H7},"select Col1 where Col2 = date '"&text(B1,"yyyy-MM-dd")&"' OR Col3 = date '"&text(B1,"yyyy-MM-dd")&"' OR Col4 = date '"&text(B1,"yyyy-MM-dd")&"' OR Col5 = date '"&text(B1,"yyyy-MM-dd")&"' OR Col6 = date '"&text(B1,"yyyy-MM-dd")&"' OR Col7 = date '"&text(B1,"yyyy-MM-dd")&"'")
Note: cell B1 contains this formula:
=today()
Sample
