First one with my own money, when I was ten in 1980, was Queen - A Night At The Opera. I think that was the first time I was allowed to go alone into the city by myself too, so exciting times! Unfortunately, my friend and I had a Kentucky Fried Chicken for lunch and I got a large grease stain on the white sleeve twenty minutes after the purchase. I was absolutely livid with myself!
The next nine albums I bought with my own money were probably also Queen, as I only started buying Led Zep, ACDC, Motorhead, Iron Maiden, Deep Purple, Black Sabbath, Thin Lizzy, Santana and Hendrix afterwards. My god, what a great escape from the complete rubbish that was on TV and radio during the 80s.