OK, couldn't find my old papers, so I had to sit down and figure them out again. And it's probably not 100% accurate, but the chords fit nicely enough to be Brain Setzer's stand-in without annoying the orchestra too much...
Verse (or actually two verses with different last four bars)
1 (3)
Eb96 - Fm7 - / Gm7 - Fm7 Bb13 / Eb96 - Fm7 - / Dm7b5 - G7 - /
Cm7 - Db9 - / Cm7 - Db9 - / Cm7 - Gm7 C7 / Gbm7 B7 Fm7 Bb7 /
2 (4)
Eb96 - Fm7 - / Gm7 - Fm7 Bb13 / Eb96 - Fm7 - / Gm7b5 - C7(#9) - /
Fm7 - Abm7 Db9 / Gm7 - C9 C7b9 / Fm7 - E7#9 - /
Turnaround 1 (between verse "1+2" and "3+4", and between the solo and the last verse)
Eb96 - Gb9 - / E96 - A13 Bb13 /
Turnaround 2 (between verse "3+4" and solo, plus during outro)
Eb96 - Bbm7 - / Eb96 - Bb7#9 - / Eb96 - Bbm7 - / Eb96 - Bb7#9 - /
The solo is also "verse 1+2". After the solo and turnaround 1 (for the second time), play verse 2 again. Then, when the band slows down/stops, and Brian sings "... when they say it's Christmas time..." he plays alternate inversions of the Fm7:
. Fm9/C E7#9/B E9/B
e|--1---3----------4---6----------8------------x------------x---
b|--1--------------4--------------8------------8------------7---
g|--1--------------5--------------8------------7------------7---
d|--1--------------3--------------6------------6------------6---
a|--x--------------x--------------x------------x------------x---
e|--x--------------x--------------8------------7------------7---
The soundtrack version from "Jingle All The Way" (with Lou Rawls on vocals) ends in a fadeout with turnaround 2 repeated, while the "Boogie Woogie Christmans" versions ends with an Eb96b5.