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Intros are essential to hook the listener in. Some above average songs would have benefitted from a decent intro.
Punk songs were rarely longer than 3 minutes, so a fast and furious intro was needed.
Too many to pick from, but I love 'I wanna Be Your Dog' by Iggy and the Stooges is near the top, as is any Mick Jones or Steve Jones intro's.....pure class, all of 'em.

So many to choose from A Whiter Shade Of Pale,Black Night,Nights In White Satin included.

Rudis In Love-The Locomotive!

Song #2 by Blur is a good 'un as well

Mine are:

Hotel California - Eagles
All or Nothing & Shal la la la lee - Small faces
Ordinary World - Duran Duran
It's my life - Talk Talk
Ziggy Stardust - Bowie or Bauhaus
Too shy - Kagagoogoo

I agree with many of the songs already mentioned above, but here are some more. While I've mentioned a couple from the late 70s/early 80s "new wave", I've mainly gone for some Motown as it rarely gets a mention on these boards

Elvis Costello - Oliver's Army
Elvis Costello - (I Don't Want to go to) Chelsea

Diana Ross & The Supremes - Baby Love
Diana Ross & The Supremes - The Happening
The Four Tops - It's The Same Old Story
Jimmy Ruffin - What Becomes of the Broken Hearted
Martha Reeves & The Vandellas - Dancin' in the Streets
Martha Reeves & The Vandellas - Nowhere to Run
Marvyn Gaye - I Heard it Through the Grapevine
Smokey Robinson & The Miracles - The Tracks of My Tears
Smokey Robinson & The Miracles - The Tears of a Clown
Stevie Wonder - Uptight (Everything's Alright)
Stevie Wonder - I Was Made to Love Her

I would add some Blues, Rhythm & Blues and Soul numbers but that would take the list to 50 or so

Baker Street - Gerry Rafferty
Into the Valley - The Skids

Don't forget Ian Dury & The Blockheads - What A Waste is probably their greatest intro, closely followed by the drum rolls of Reasons to Be Cheerful.
Madness had some classic intro's too - see nearly all their classic 79-82 singles