Gamal Abdel Nasser's great accomplishment was to

bring democracy to Egypt

modernize Egypt

create an Islamic state in Egypt

achieve peace with Israel

Modernize Egypt

Gamal Abdel Nasser was president of Egypt from 1956 to 1970. He abolished political parties and created a one-party system, so don't credit him as a democratizer. He worked to suppress the Muslim Brotherhood and keep Egypt from becoming a religious state. And he went to war with Israel over the Suez Canal in 1956, and again in the Six Day War of 1967.