1960 Topps #138
I'm going with this beat up old Art Mahaffey rookie card. I don't remember where or how I got it. I'm a big baseball fan now, but when I was a kid (I was 8 years old the summer of 1960), I wasn't much of a fan. But I can remember that I was somehow aware of Art Mahaffey. He played 6 years with the Phillies, 1960-1965, compiling a 58-60 record. He was somehow an All-Star in 1961 (when he was 11-19) and again in 1962 with a bit more respectable record of 19-14. He was 12-9 in 1964, the year the Phillies blew a big lead in September and lost the National League pennant (which to be truthful, I hardly remember).
So this might not be my absolute favorite card that I own from the 1960s, but I have a story to tell about it so it's my choice. And really, without a story, what's the point of picking any particular card?