How do I get a plastic bag logo stain off my finished wood table?
Per the question, I used Minwax until it faded, but it was still quite obvious and visible (close to the last pic in the question post).

Then, taking a page from the "mayo and ashes" tip, I mixed 1-part mayonnaise (Hellman's) to 1-part baking soda (not baking powder; I used Arm &amp; Hammer brand) as a cigarette ashes replacement.  I rubbed the mixture along the grain directions using a paper towel and some pressure.  

The stain faded, then vanished.  The resulting wood is smooth, and considering the baking soda is abrasive, appears unscratched.  After wiping off the mayo mix, my table may smell like a turkey sandwich, but it's beautiful again.

Now all I have to do is polish off all the Minwax buildup from my earlier cleaning attempts.

I would never have thought of going with the grain had I not spoken to the lady from Restore and Adore, and had the baking soda idea fell through, I would have gone with the "last resort" 4 0 steel wool with a lot of Minwax applied.

Pic of the repair: