I also like intros with vocals that aren't actual lyrics, such as Let's Spend the Night Together, Hang Fire and Tumbling Dice.
As for instrument intros, Waiting on a Friend is classic, Sway, Paint it Black and Undercover are bad ass.
And although it's a cover, I love the intro to Just My Imagination, because it tells you from the start it's a Stones reinvention, not a
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