One of them must be "Get Yer Ya-Ya's Out".

Arjay

Beggar's Banquet
Let It Bleed
Get Yer Ya-Ya's Out
Sticky Fingers
Exile On Main Street

Those are the must-haves, as far as their "albums" go...for greatest hits packages, Forty Licks is good, but Hot Rocks I and II (chronicling their London/Abkco years) both have a big place in my heart.

As far as "newer" albums, "Stripped" and "Voodoo Lounge" are two not-very-popular discs that somehow move me (although Voodoo Lounge falls apart at the end).