Can anyone identify the fonts in this design, or something close? Thank you!!

Hi,

The Sans-Serif ist close to Frutiger Black Condensed ... but the S didn't fit ... It's should be Bitstreams clone Humanist 777:

http://new.myfonts.com/fonts/bitstream/humanist-777/extra-black/

The Slab Serif is something like ChunkFive:

http://www.abstractfonts.com/font/14302

or Fette Egytienne (german: Bold Slab Serif) by Dieter Steffmann:

http://www.abstractfonts.com/font/13147

or Big Mummy by Manfred Klein

http://www.abstractfonts.com/font/12143

Close but no real matches ...

In the date-line there is something like a Palatino or Palladio (Hermann Zapf). Very close is URW Palladio Medium:

http://new.myfonts.com/fonts/urw/palladio/

Bye Bye