The big font is hard to identify, which is annoying as it has a ton of distinctive letter shapes despite the limited character set. Identifont didn't find anything quite right. If you need the exact font the big player in display time in this period was ITC, you might find it searching through their library. My closest suggestion then would be Maiandra by Dennis Pasternak or Fritz by Christian Schwartz, which get the right slightly-wonky, monoline letter structure despite only having minimal serifs. Or ITC Souvenir, which has some similar letter shapes but more contrast.
The small text is in a thick-and-thin "stressed" sans-serif style. Acme Gothic is not the font in this image but is a very good digital version of this style.