I think you're referring to what are often called 'personal narrative' or 'personal essays' - they go by different names according to the publication. A lot of magazines and newspapers publish them, often for $$.
Most markets that publish them do not require a query letter, just the complete work.
But make sure it meets their guidelines, esp wordcount, as most publications reserve a specific space and are unlikely to change it because your piece is longer or shorter.
If you go to my website at www.lpwordsolutions and click on the link to Handouts, you'll find a 4-page list of markets with hot links that you can follow to see who is publishing what. I have not updated the handout in the past year, but will be doing so in time for my workshop 'Having Your Say - Writing Personal Essays & Opinion Pieces' at the upcoming Surrey International Writers' Conference (www.siwc.ca). Check back on my website in late-November when I will post the updated version of this list.
Enjoy your writing - essays are so much fun.
Hope this helps.
LoisP
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Lois J. Peterson, writer ~ editor ~ instructor
www.lpwordsolutions.com