[Certain]

I don't know what constitutes obscure, but here are some of my favorite rock/folk/indie pop albums from the 1960s, 1970s and 1980s that you wouldn't hear on classic rock radio:

The Velvet Underground, The Velvet Underground and Nico (1967)
Leonard Cohen, Songs of Leonard Cohen (1967)
Van Morrison, Astral Weeks (1968)
The Velvet Underground, White Light/White Heat (1968)
Nick Drake, Five Leaves Left (1969)
The Stooges, The Stooges (1969)
Velvet Underground, The Velvet Underground (1969)

Neil Young, On the Beach (1974)
Neil Young, Tonight’s the Night (1975)
David Bowie, Station to Station (1976)
Modern Lovers, Modern Lovers (1976)
Television, Marquee Moon (1977)
Wire, Pink Flag (1977)
Iggy Pop, The Idiot (1977)
Talking Heads, Fear of Music (1979)
Joy Division, Unknown Pleasures (1979)

Joy Division, Closer (1980)
The Feelies, Crazy Rhythms (1980)
The dB’s, Stands for Decibels (1981)
The Jesus and Mary Chain, Psychocandy (1984)
Tom Waits, Rain Dogs (1985)
The Smiths, The Queen is Dead (1986)
Sonic Youth, Evol (1986)
Sonic Youth, Daydream Nation (1988)
The Stone Roses, The Stone Roses (1989)
Kate Bush, The Sensual World (1989)
My Bloody Valentine, Isn’t Anything (1989)