I've always been curious about this phenomenon myself, whether or not actually inheriting certain ethnicity DNA necessarily correlates with one's phenotype, especially since siblings for instance, who differ somewhat in their DNA composition, also look somewhat different.
I also feel that my DNA breakdown reflects how I look. Approximately 70% of DNA is Mediterranean/Southern European (Italy/Greece, Iberian Peninsula, Caucasus, Middle East), with the rest a blend of Scandinavian, Great Britain, Ireland and Europe West. I have thick dark brown/black hair/eyebrows, Mediterranean facial features (even slightly Middle Eastern to some), with a skin tone that's neither super pale nor olive/tan, and blue/green eyes.