I'm not saying no trope has ever been offencive, but so far Anita has yet to provide one that actually is.
Once again we can apply the reversibility test. Is it offensive to imply that men become irrational because of some sexual cycle? Well yea, kind of. Therefor the same is true of women. Is it offensive for a man to be kidnapped? Not really, no.
Honestly a lot of the tropes Anita uses I've long since considered Unisex. To the extent that I am surprised she has never used the reverse.
For example she never listed any Male Damsels in Distress, she listed males who were captured but none who genuinely needed help to escape.
Anita many a time doesn't try to reach to make people understand the difference.
When I like to look at the Exemplar Male Damsel in Distress (as opposed to a female one) to get the point across as to the difference, I like to use Edgar from KQ7.
In KQ7 as soon as he was rescued he immediately confronts and nearly defeats the villain (you don't fight much in KQ7, but it is a point and click most heros don't fight. In fact only 2 KQs had main character fights). Heck in Monkey Island when Elaine Rescues Guybrush he usually has to immediately face the villain.
Now as for the reverse of the Damsel in Distress I always like to point to Elaine who is simply a parody of the Damsel in that she is so competent that she never needs to be saved by the hero. To the point where the only times she messes up is because of your direct intervention.
I know Anita is going to go to "positive female heros" but a lot of them NEEDED to appear in their sections.
The problem is that the offensiveness of a lot of these tropes are not just in their use but in their details.
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Also interesting video made by a male
http://www.youtube.com/watch?v=0kHOn1UsWao&feature=youtu.beAlso HOLY COW!!! All of a sudden I am finding the GOOD videos that criticize Anita and none of the crazy, insane, or stupid ones.