The zip from the contextual menu has no regular configurable settings. Like a one-size-fits-all that anyone can use. You may want more, though.
The zip format allows for some different compressions methods, that may have different results for various kinds of files. It should not make difference in unzipping compatibility. You will have to use a more versatile compressor application, though.
You mention rar, which could well be a better scheme (smaller output files) than zip for the kind of files that you are working with. There are command line tools and GUI application to help you with that.
There are other compression schemes to consider: 7z, zipx, or even FLAC (playable lossless compressed audio), similar to Apple Lossless audio codec.
Have a look at these tools. (Some* are a bit old.)
Winrar for Mac command line, Winzip for Mac by Corel, iZip, SimplyRAR*, Rarify*, Zipx, Keka.