damn, errm, trying to remember all the games that did. Hellgate does, bah, frankly theres not a "huge" amount of difference and lots of games simply install without the option but detect the OS and install the appropriate .exe file. Simple thing is lots of newer games and more all the time will have 64bit versions and will just install automatically. Some games are faster in 64bit, not much but to be honest I think right now recompiling an exe to run in 64bit is about as far as most of these guys are going, optimising and spending lots of time making 64bit run faster hasn't seemed to be a massive priority yet. Really should have only bought around the 64bit vista, as with only one version to support pre-release everyone would have had working 64bit drivers, but to many companies gave 32bit support and threw out a crappy 64bit driver which affected the uptake of 64bit version massively. WHich in turn means dev's have little reason to put "that" much effort into 64bit, was a bad call all around as MS could have had significantly less work with only one version of the range to support/produce/optimise.
I think Farcry may have only been supported under the AMD ath 64 chips but at the time I think they were the only 64bit chips out so not surprising, would assume it runs fine on Intels too.
If its a case of not sure which version of windows to buy, go with 64bit, if its just wondering, well I guess check all your folders, most will have some indication of .exe version being 32 or 64bit, or in the install log or version txt, readme or something like that.
The thing thats really stupid is often its a pain to install a different version on your computer. For instance I wanted to mess around with a trainer on Hellgate in single player to rush through some classes and see which I liked at later levels, installed on vista 64, trainer makers all made 32bit versions and there wasn't any way to install the 32bit files on 64bit, installing on a different computer and transfering all the different files and it worked fine in 32bit. But seeing as some games have bugs in either version, or some reason you want to run, its weird they are making it so seemless and hidden. If a game can be installed and run at 64bit you'd think that would be a selling point like any other gimmick and option in install menu's to highlight how "advanced" their game is makes sense.