Make sure that the EPROM programmer not only supports the chips you want to program, but also that it runs under the OS you have.
My new home computer runs Vista... my TOP2004 programmer does not work with that.
Plus, keep in mind that the arcade game ROMs are typically EPROMs, not EEPROMs. Some may have Flash ROMs on them which are a type of EEPROM, but they aren't considered one in the same.
Parallel EEPROMs were typically used for awhile as NVRAM for keeping high scores on games but they ended up flakey after a few years.
Serial EEPROMs are used today in MANY MANY applications, but not too many arcade ones. One use is to hold the MAC addresses for your network cards.
RJ