Whether it just be giggles or philosophy, etc, go on here!
Well, I want to use a recent important case, where an anime relieved a traumatic incident (not kidding).
When I was younger, as I was recovering from a life-threatening depression at age 12 when I accidently saw an 18+ site, was not happy to see that and 1 year later I was physically sexually harassed so needless to say, I was afraid of a lot of things involving sex and the human body in fear of being harmed quite a bit. (imagine what that was like in a school full of Family Guy and rude words) Sadly, the former incident left me scared even looking at artistic nudity in art or large bust in general and lots of anime would have easily turned me away like Chobits' earlier episodes.
Now is where I get to the cure for hyperactive fear: I was watching the trailer for Lost Universe that RightStuf made on an Aria DVD, yet somehow Canal's design came across as comforting and mothering in both forms when I got the CD and seeing her in the show, somehow her personality, face and the way she was dressed made her chest look more friendly and harmless compared to the horror fest in my mind. Made me feel like a baby being held by it's mother or just anyone wanting to be soothed to sleep instead of fear of being harmed. She broke the ice for me with simple feminine beauty in manga and in artistic paintings so now I am not nightmarishly limited.
For example of soothing: "shhh.... it's okay, nobody's going to hurt you.* *hug and shush*
So really if it weren't for a hologram girl, I'd have way more fear than neccessary still.