Nick Brasil: Not sure about that, i've only played the PC version
Madness: thanks for the welcome. I've noted down some of the songs i heard while playing the game, though the songs seem to play in a different order for each session.
Here's what i got so far, may not be 100% accurate, but i'd say its at least 95%. Maybe later on i'll also note down songs from PS2/XBOX version that aren't on the PC version.
1978
1) Chuck Brown & The Soul Searchers - Bustin' Loose
2) ?
3) Blondie - One Way Or Another
4) Marvin Gaye - Trouble Man
5) Billy (Sugar Billy) Garner - I Got Some
6) Funkadelic - I'll Bet You
7) ?

?
9) ?
10) ?
11) The Wrecking Crew - Bump And Boogie
12) Iggy Pop - Neighborhood Threat
13) The Stranglers - Peaches
14) ?
15) ?
16) Savoy Brown - I'm Tired
17) Maceo & The Macks - Cross The Tracks (We Better Go Back)
18) Sir Mack Rice - Bump Meat
19) War - Lowrider
20) David Bowie - Suffragette City
21) ?
22) Labi Siffre - The Vulture
23) ?
24) ?
25) ?
26) ?
27) ?
28) ?
2006
1) Public Enemy - Now What You 'Gon Due
2) London Funk Allstars - Way Out
3) ?
4) Paul Oakenfold - Addicted to Speed
5) Suicide - Pop the Blue
6) ?
7) The Juan Maclean & Nancy Whang - Tito's Way

?
9) Dr RubberFunk - The Cookie
10) The Departure - All Mapped Out
11) ?
12) Lifesavas ft Vernon Reid - Driver
13) Queen Adreena - Racing Towards the Sun
14) GrandMaster Flash - You Will Pay
15) ?
16) ZZZ - O.F.G
17) Kaiser Chiefs - Oh my God
18) Mylo - Muscle Cars (Sander Kleinenberg Pace Car Mix)
19) Libretto and Lifesavas - Volume
20) ?
21) Arthur Baker - (Everybody) Reverbarate (Return to New York Mix)
22) The Vacation - White Noise
23) Yeah Yeah Yeahs - Sealings
24) ?
25) Audio Bullys - Rock 'Till I'm Roll'ing
26) ?
27) DangerDoom & Ghostface - The Mask
28) Grandmaster Flash - Get out of my way
29) Public Enemy - Narcistic Fix
30) LCD Soundsystem - Tribulations