Short answers, pulled from the story.
The Anime Grand Prix began in 1979, but the first official winner was announced in the January 1980 issue of Animage magazine. The first award ceremony was held in 1980, and the winners were traditionally announced in the June issue of the magazine.
Sunrise became the most awarded studio of the 1980s with 13 wins. Mobile Suit Gundam won the first award in 1979, and its sequel Mobile Suit Gundam II: Soldiers of Sorrow won in 1981.
Studio Ghibli won the Anime Grand Prix four times with films like Castle in the Sky, My Neighbor Totoro, and Kiki's Delivery Service. Castle in the Sky, released in 1986, was the first Studio Ghibli film to win the award, followed by My Neighbor Totoro in 1988 and Kiki's Delivery Service in 1989.
Megumi Hayashibara won the Anime Grand Prix 12 times and Akira Kamiya won 11 times. The voice acting category was introduced in 1979 and has been a key part of the award ever since.
Neon Genesis Evangelion won the Anime Grand Prix three times, including The End of Evangelion in 1997. The show was a departure from the mecha genre, focusing on themes of psychology, religion, and human nature.