
The first thing I noticed was the phonetic similarity between the title of the ad and the title of the show. I almost read "Band of Brothers" in my head as I was looking at the Dick's/Nike ad.

The design elements in the ads are similar as well. The text runs right to the edge of the page in both ads and both ads feature a lineup (pun intended again) of something. The Dick's ad has a lineup of Nike shoes and the miniseries ad has a lineup of soldiers.
Trying to sell an unrelated product based on the popularity of a miniseries is a new one on me.