My most common consumption method for Parmigiano-Reggiano is standing in front of my fridge at 2am breaking chunks off the wedge, with a squeeze bottle of honey and whatever berries I have on hand. Can recommend.
A lot of cheeses benefit from very thin slicing - it emphasizes the crystallization of Parmigiano Regiano, the creaminess of a Havarti, or the everything of an Applewood smoked cheddar.