Somehow I missed this thread.
It depends on what the cheese is for.
Some examples that appeal to my personal taste preferences...
If it's on a Frito chili pie: sharp cheddar
Bagels: toasted Asiago bagel with cream cheese
Ham sandwich: Swiss
Philly cheesesteak bowls: Provolone
Grilled chicken sandwich: Provolone
For a snack: pepperjack, string cheese, etc.
Pizza, stromboli, etc.: mozzarella, also Parmesan
For dishes like chile relleno: queso blanco
Salad: crumbled feta
With crackers: brie
On burgers: Muenster (Muenster is a fave)