My personal fave:
After the spending the first gulf war in the military and then working a decade in extremely active security companies (we're talking 200+ combats a year and solo commercial and industrial armed alarm responses) I was ready to break into IT. On my first interview (for @Home phone network support) the hiring panel asked me "how I would handle the extraordinary stress of having to deal with people who were so very angry with me".
I started laughing like a lunatic, and couldn't stop until the tears were rolling down my cheeks. I realized they were horrified at my behavior and had been serious. I asked if they'd even read my resume and cover letter, and when they hemmed and hawed I explained further.
It went something like - "Look, 6 months out of boot camp I spent a night in ops watch at a flag command as the 4th link in the chain of nuclear response...that means that had anything happened I would have been one of the first people to get the ball rolling towards global nuclear armageddon. In security I was called upon to rush alone into a warehouse in the middle of the night with hundreds of thousands of dollars of merchandise all around me and find out if it was on fire, or if a half dozen armed criminals were robbing the place. I had to put myself (unarmed and unarmored) into melees with a pack of armed gangbangers out for revenge over a recent shooting. I had to restrain psychotic killers who were on PCP before they could murder the 19yr old nurse on duty. Look I realize you take your job seriously, but quite honestly none of you have the slightest idea of what stress or anger are. Next question please."
I figured that was gonna wash me out in a heartbeat, but surprisingly I got the job.