Akzidenz Grotesk & AG Book = closest free option is probably Arial or Helvetica (free as in likely pre-installed on your computer)

Minion Pro = if you have a Mac, perhaps Palatino would suffice (again, pre-installed). Also note that, I think--at least at one time--Minion was installed for you if you purchased an Adobe product such as Illustrator or Photoshop.

Galliard = I'm not much help there. Maybe Georgia is close enough to the ballpark for you. But that's probably a long shot.

I also think that nearly any Garamond would look fairly close to Minion.

- Mike Yanega

Instead of Minion you can use Crimson Text: http://www.aldusleaf.org

Instead of Galliard Display you can use Pona Display Demo: http://new.myfonts.com/fonts/tipografies/pona-display/

When it comes to Akzidenz Grotesk, go for a geometric sans. Helvetica, Arial if you have, if not get one of their sisters:

Tex Gyre Heros: http://www.fontsquirrel.com/fonts/TeX-Gyre-Heros
or Nimbus Sans, which is part of the URW font package: http://www.artifex.com/downloads/

Another geometric sans is:
Eau: http://www.fontsquirrel.com/fonts/Eau

You might find my new release of Contax Sans as a possibility.

Has 2 free fonts... Roman & Italic

http://new.myfonts.com/fonts/typeinnovations/contax-sans/