I find it hilarious that Naonak is insinuating that door dings are the fault of the one who has gotten dinged!
Perhaps you have the best luck in the entire world, or you have some 6th sense that is able to detect which vehicles would ding your car that you avoid subconsciously, or you live in a utopia that is devoid of inconsiderate people.
To answer the OP's question, YES, I'm paranoid about it. Especially when my car was backed into after only being 6 days old in the Costco parking lot last year. I even parked away from the other vehicles, but apparently school must have let out or something while I was inside and so everyone was surrounding me by the time I came out. $20k in damages and 5 weeks without my car when it was a week old...not cool. But, apparently it was my fault....
I annoyed my wife royally a few months ago when we had to stay at a hotel for a few days for a conference. The parking was in a parking garage. I kept going up floors until the occupied spaces were about less than 10%. Needless to say, we could've parked on level 2, but my Model S was happy in her own secluded corner on level 10.
And just this last weekend, I had two encounters with door dings. We took the kids to the Dallas Arboretum. 72 degrees and sunny on a Saturday and it was busy. So I took the closest parking spot I could find (We were in my wife's SUV, thank goodness). When we came out, someone had scraped the rear quarter panel while backing out. (Our fault, of course).
Then, we went to a family-fun center type of place (laser tag, bowling, etc.). Again, it was PACKED and we had to drive around just waiting on someone to back out so we could claim their spot. When we first got in, I didn't know it would be that packed and I saw an empty space that I almost backed in to but it was so tight I decided to keep looking. A few minutes later we saw a SUV back into that very spot and I sat there and watched the passenger (who was a girl about 10 years old) just blatantly open the door into the adjacent truck, and hard.
Of course, it was the pickup trucks' owners fault........