It is a very subtle mix of elements that makes one appreciate a particular magazine. Some of these elements are exchangeable, or exclusive, but here is what comes to mind (randomly):
Size
Materiality (binding, stock, wrapping, etc.)
Pagination
Printing
Price
Title
Frequency of publishing
Content:
—editorial structure
—theme
—photography (quality, style, content, titling)
—writing (quality, style, content, titling)
—advertising (quantity, type of advertiser, aesthetic quality of)
and then, some more subtle relations between these aspects:
Writing vs photography proportion
Design
Consistency between issues
Ability to renew itself over time