You mention news and magazine sites, they are very topical and change out almost all of their content on a regular basis.
Your site very definitely doesn't do that and but should.
An easy to find example:
http://www.nydailynews.com/sports/index.html
This is what your home page looks like now, except I'd have more "fresh" content and less duplicate content.
Additionally, under each of the three feature images/stories I'd include the first paragraph from that article under the image with a meaningfully named link to the article.
Try to reduce the duplicate content, for example you have the same article teaser for "2012 Topps Heritage Baseball Cards" image,headline,paragraph on your home page and at least two other pages:
* http://www.cardboardconnection.com/baseball/
* http://www.cardboardconnection.com/sports-cards-sets/
And it;s the only content on those secondary pages. Google will definitely frown on that.
If you have fresh content, you should be using it.
On your second level pages put your most recent article teasers on the page (The teaser is the image/headline/first paragraph combo) like on the third level pages, do your best to bubble the actual content up.