"Like what?"Do you really want a list?
2 - Win7x86 systems to run business software (that's why my 'office rig' is 32 bit)
2 - XPx86 systems to run embroidery software
(the win7 version is totally useless. $1500 upgrade; you buy it, you own it.
Rolled back to XP and the previous version; but that isn't germane to this conversation)
My DAW?
Win7x64; Win 8 not an option, no drivers for my FW-1884.
The OP asked if X3 "works" on a 32 bit system.
The answer is "Yes, it works just fine".
If he had asked "Do you recommend a 32 or 64 bit OS?"
Well, the answer is obvious; isn't it?
T