A Big Apple Cafe existed at 60-71 triangle in Neosho, Missouri, from 1940 until 1942. The Big Apple Cafe was probably named after the “Big Apple” dance craze of 1937.
 
 
Newspapers.com
10 July 1940, Neosho (MO) Daily Democrat, pg. 4, col. 1 ad:
Big Apple
Cafe
60-71 Triangle
 
Newspapers.com
3 August 1940,  Neosho (MO) Daily Democrat, pg. 4, col. 1 ad:
Taylor-Made
Frosty
Malts
5c and 10c
Plate Lunches and Regular
Meals, 25c and 35c
at
Big Apple Cafe
60-71 Triangle
 
Newspapers.com
12 November 1940, Neosho (MO) Daily Democrat, pg. 4, col. 1 ad:
Big Apple Cafe Under New Management
Opening Wednesday, Nov. 13
(...)
ALLIE WEST, Prop.
 
Newspapers.com
25 June 1941, Neosho (MO) Daily Democrat, pg. 6, col. 4 ad:
Home Cooked
FOOD
at the
Big Apple Cafe
60-71 Highways
DAVID A. GEORGE, Prop.
 
Newspapers.com
5 May 1942, Neosho (MO) Daily Democrat, pg. 3, col. 4 classified ad:
BUSINESSES
FOR SALE
At once Big Apple Cafe; reason, other business needs attention. Fine business. Reasonable terms.
 
Newspapers.com
22 August 1942,  Neosho (MO) Daily Democrat, pg. 4, col. 5:
ARRESTS
Arrested Ray E. Miller in yard back of Big Apple Cafe charged with reckless and careless driving and leaving car parked on highway without lights.