Yep, there is even an 64bit version of Basilisk for Windows 7 and I use it too. As for the 32bit Basilisk exe for the Windows XP, let there be no misunderstanding: By the zip file I mean any one of the compressed file formats and in the case of Basilisk it is a 7z file like the one below: You just click on it and extract all of its contents into a folder of your liking and there under it contains the basilisk.exe too. That's how I do it.
If you 're asking for where I got that 7z file here you are:
https://rtfreesoft.blogspot.com/2020/09/weekly-browser-binaries-20200919.html
It is the file:
basilisk55-win32-git-20200919-a4291d5cc-xpmod.7z