@JUG. Not trying to be funny.
You said great, not good. He was an horrendous man, however he also fits your criteria extremely well.
Achievements - Conquered most of Europe, committed a genocide (not all achievements are good)
Influence - Influence in his time was huge, for a short period of time would have to be considered the most powerful man in the world.
Renown - His name is synonymous with evil in the modern world, very very well known.
Exceptional talent - A true political genius
Excellence in a particular field/across fields - Same as above?
Lasting legacy - While he didn't build his thousand year Reich his war did certainly leave a lasting mark on the world, it led to the cold-war, was deeply imprinted on Jewish identity and bankrupt Britain. There are still a rather large group of people who follow him (neo-Nazi's)
A great man doesn't have to be a good man, somebody can do great evil as well as great good.