As reference pinout for ZIF socket, prefer AT27C040:

Considering the first 8 pins ( 1, 2, 3, 4, 37, 38, 39, 40) reserved for I2C and SPI, then changes are:

PS. NC for not connected and X for must be, GND included for mark.

the schematics altered to comply.

dip switch 01 and 02 for eeproms:

to review:

AT28C16, (01 ON: S6, S8, S9), (02 ON: S3)
AT28C64, (01 ON: S2, S4, S7, S9), (02 ON: S3)
AT28C256, (01 ON: S2, S4, S7, S9), (02 ON: S4)**
SST39SF040, (01 ON: S1, S3, S5, S7, S9), (02 ON: S3)
M27C512, (01 ON: S2, S3, S5, S7, S10), (02 ON: S3)
W27E257 to review
AT24CXXX ALL OFF.

update:

for W27E257  pin 1 is VPP and pin 28 is VCC