Hmmm, I love Harry but agree that avoiding H is probably a good idea with that surname!
Along similar lines but not H:
Alfie, Archie, Adam, Angus, Bertie, Charlie, Callum, Conor, Daniel, Edward, Ethan, Felix, Finley, Fitch, Gareth, George, Isaac, Ivan, Jacob, Jack, Jake, Joseph, Joshua, Jared, Kieran, Liam, Lucas, Morgan, Matthew, Michael, Mason, Nathan, Oscar, Patrick, Peter, Reuben, Samuel, Spencer, Thomas, Zach.