/System Folder
/Temporary Items (drwxrwxrwt)
/Volumes
/cores
it's ok for these to be set the way they are.
/System Folder probably has to be world writable for classic apps (which have no concept of file permissions) to work correctly.
the permissions on /Temporary Items will only allow users to delete their own files. this mimics /tmp on most unix installations.
/Volumes is used for mounted filesystems. not sure if it needs to be world writable.
/cores is writable since it is the repository for core dumps from crashed apps.
the installer logs could be set that way on purpose by the installer. or maybe classic creates files 0777 by default? i don't have classic installed to test.
if you are paranoid, you could experiment with changing permissions on these directories. i'm not sure what all (if any) will lossage will result.