I have done some looking around and as far as SSRS support goes with SP2013 the "latest publicly supported version" of Safari for OS X should work with this set. On the same machine Firefox 19.0.2 does work fine with the native SSRS report and the same report through PerformancePoint. Does the supported browsers for SSRS/Report Manager not also apply to SharePoint integrated mode or BI Center compatibility when dealing with reports?
This is the link I looked at for compatibility information:
http://msdn.microsoft.com/en-us/library/ms156511.aspx
The report will load in Safari 6.0.4, but as soon as you select parameters and click apply the form basically acts like it was refreshed and the selected options disappear.
The same report has been tested on the following OS/Browsers.
Windows 8/ IE 10.0.9200 works as native Report/PerformancePoint
iOS 6.1.3/Safari works through PerformancePoint
iOS 5.1.1/Safari does not work through native or Performance point, similiar behavior to OSX and Safari 6.0.4
Android 4.2.2/Chrome works through native SSRS report.
So based on the supported platforms and the devices I have available to test with everything is working as expected.
Has anybody tried any of these platforms/browser combinations and had different results?