Discrete--apart or detached from others; separate; distinct: six discrete parts.
Discreet--modestly unobtrusive; unostentatious: a discreet, finely wrought gold necklace.
This really bugs me. Both these words are pronounced the same, yet have opposite meanings. They could be used in the exact same sentence and I'd have no idea which way the person was leaning towards. One basically means distinct, while the other means blending in.