CAL. and PRIMO’S DELICATESSEN seem to be Ballinger Xtra Condensed Medium. FRESH FOOD DAILY is proving a bit harder to pin down—Maybe Spezia Extended?
Ballinger looks to be correct, the apostrophe matches.
As for Spezia, its close. Here is another use of that extended typeface (sorry about the quality, its cropped from a larger image)
Aktiv Grotesk Extended is also similar, but also not quite a match.
Well, now I feel stupid.
Jim Kennelly was kind enough to respond to an email, and ID'ed the wide sans serif as Benton Sans Wide. But I'm not seeing a single story g as an alternate in Benton Sans, and doesn't the posted sample have equal lenght horizontal strokes on the E and F, while Benton's are uneven?
The high-waisted t and f are there, but the a is also not a match.
Activ Grotesk does have the angled terminals—and it works for the thin upper- and lowercase copy on the menu as well.