Essentially, you can age anything. As cigars age, they tend to mellow out and are more about the subtle flavors than strength. People prefer aging stronger Full-Bodied cigar because of this.

I've had some Mild Connecticut Broad Leaf cigars aging for 3 years or so. The only reason they were "aged" was that I moved into more Med-Full bodied cigars and they weren't doing it for me anymore.

However, I recently smoked one and it was really enjoyable. Experiences may vary.