Oh, yes, many of the albums I love were from before I was born.
Simon and Garfunkel-Parsley, Sage, Rosemary, and Thyme (1966)
Beatles-Abbey Road (1969)
Led Zeppelin-Houses of the Holy (1973)
Pink Floyd-Dark Side of the Moon (1973)
Queen-A Night at the Opera (1975)
The Who-Who Are You? (1978)
The Clash-London Calling (1979)
Rush-Moving Pictures (1981)
The Cure-Japanese Whispers (1983)
In the cases of U2 and The Cure, I enjoy many of their later albums better, but I was limited to 1984 and earlier.