You're going about this the wrong way.
Pick any multi-function printer you like. For example, HP's cheap Photosmart 6520 e-All-in-One Printer.
If you look at the specs --> http://store.hp.com/webapp/wcs/stores/servlet/us/en/pdp/printers/hp-photosmart-6520-e-all-in-one-printer and go to the "minimum system requirements," what you see is
"Windows 8 and Windows 7: 1 GHz 32-bit (x86) or 64-bit (x64) processor."
There's nothing there that says Windows 8 32-bit or 64-bit or Windows 7 32-bit or 64-bit (although the fact that the system can have either a 32 or 64 bit processor might be a clue).
However, instead of relying on the specs, go to the support part of the HP site and see what drivers are available --> http://h10025.www1.hp.com/ewfrf/wc/softwareCategory?product=5169041&lc=en&cc=us&dlc=en&lang=en&cc=us
If you do that, you'll see that there are drivers for:
Windows 7 32-bit
Windows 7 64-bit
Windows 8 32-bit
Windows 8 64-bit
Windows 8.1 32-bit
Windows 8.1 64-bit
Windows Rt
Windows Vista
Windows Vista 64-bit
Windows XP
Mac OS X 10.10
Mac OS X 10.6
Mac OS X 10.7
Mac OS X 10.8
Mac OS X 10.9
In fact, if you actually select one of the above Windows versions, you'll see that there is only one download that supports ALL of those Windows versions -->
h10025.www1.hp.com/ewfrf/wc/softwareCategory?product=5169041&lc=en&cc=us&dlc=en&lang=en&cc=us
The bottom line is, look at the driver downloads for the printer you are interested in rather than the marketing spec sheet. Almost any multifunction printer on the market today will support both 32 and 64 bit versions of a variety of Windows editions.