It's basically a combonation of different positive adjectives used to describe someone. Like awesomely-amazingly-super-freaking sweet-person ever.

Like Derek Lee aka Bomb-Shiggity Derek
Chris: Hey Derek, can I borrow your english homework?

Derek: Yeah dude! Fo sho!

Chris: Well, you're white so you can't say that, but you're still the Bomb Shiggity
by Batman1472 November 17, 2009
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term used to express utter joy, happiness, excitement
Bomb-shitty, thats sweet!

Your hair is lookin bomb-shiggity today!
by lilrayrayoo December 1, 2009
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