Era
Delta brought out its 14 in band saw in 1934 and the Unisaw in late 1938, Walker-Turner launched its 500, 700 and 900 series in 1934, and Oliver's big No. 88 saw goes back to the late 1920s, all before Pearl Harbor. Delta didn't put serial numbers on its machines until 1941, so a Delta with no serial plate is probably older than that. Many stayed in production for decades, so a machine filed here by its launch date may have been built long after the war. Check the wiring and the motor plate on any of them, since old cords and switches usually need replacing.
5 models we cover.

Walker-Turner
Drill press$1,025–$1,050 typical ask
27 on eBay
Walker-Turner
Band sawWhat to check before you buy →

Oliver
Table saw$3,520–$3,520 typical ask
1 on eBay

Oliver
Table saw$3,000–$4,980 typical ask
7 on eBay

Oliver
Table saw$2,100–$2,100 typical ask
4 on eBay