What about Portable Apps, through wine of course?
Look at this site: http://www.portablelinuxapps.org/
Native Unix Portable Apps
That's a fantastic addition.
A majority of them should work. Except a few anti-malware softwares and almost all the disk defragmenters! I can tell this for sure because I've tried running these in WINE, by myself. I'd suggest even you do the same. :)
It's impossible to make a blanket statement. Some may work; some may not. All I can tell you is to try them out yourself!