Give me a week of music...

[nobody]

Blue Monday – New Order
Tuesday Morning – The Pogues
Wednesday Week – Elvis Costello
Thursday – Morphine
Friday I’m in Love – The Cure
Another Saturday Night – Sam Cooke
Sunday Morning – Velvet Underground

[-Jar-]

Blue Monday – New Order
Tuesday Morning – The Pogues
Wednesday Week – Elvis Costello
Thursday – Morphine
Friday I’m in Love – The Cure
Another Saturday Night – Sam Cooke
Sunday Morning – Velvet Underground

Manic Monday - Bangles
Ruby Tuesday - Stones
Our Weekend Starts on Wednesday - Hey Mercedes
Standing on the Edge of Summer - Thursday
Friday On My Mind - Easybeats
10:15 Saturday Night - The Cure
Everyday's Like Sunday - Morrissey

[Mr MidFi]

I Don't Like Mondays - Boomtown Rats
Tuesday's Gone - Lynyrd Synyrd
Wednesday Week - Elvis Costello
Thursday - Morphine
Friday on my Mind - The Easybeats
Heart of Saturday Night - Tom Waits
...and anything by The Sundays

How's that?

[Stone]

anything by The Sundays
anything by Blue Monday
anything by The Tuesdays
anything by Wednesday Week
anything by Thursday
anything by Gavin Friday
anything by Saturday Looks Good To Me

I don't have anything (to my knowledge) by Blue Monday or Gavin Friday, but I do have something by all the rest.