For the most DIL 24/28/32 pin EPROM/Flash/EEPROM chips you do not need adapter.
For the PLCC32 chip you need a PLCC32-DIP32 or PLCC32 HUB/FW adapter depend on your chip type. (The Enhanced willem programmer has build in PLCC32 and HUB/FW adaper on board)
For the PLCC44, if your device is 16 bit EPROM, then you need a 16 bit EPROM adapter with PLCC44 adapter. OR if your chip is Atmel MCU PLCC44, then you need a MCS-51 adapter with a PLCC44 adapter.
Currently no PSOP44 ping adapter available in MCUmall.