Selective Backup with permissions preserved.

To copy selective files along with complete directory structure with all permissions preserved. (from one directory to another in same box).

find /var/log/allapps/apps1  | egrep '2013-12-02'  | rsync -Ravz --files-from=- /  /tmp/test

Above command will create a directory structure of var/log/allapps/apps1 + files(filtered by egrep above) inside apps1 dir inside /tmp/test along with all directories/files ownership and permissions intact.

Now take the backup of above copied folder.

cd /tmp/test
tar -cvpf test.tar var

Copy only specified files using rsync.
We need to copy only some files from remote system. These files are scattered around various directories. We also need to keep the directory structure on destination same as in source. Following command was used.

rsync --stats --progress -rvpogStDL --files-from=192.168.1.4:/tmp/200901files 192.168.1.4:/home/remote_files_and_documents 

Note1: /tmp/200901files contains list of files.
e.g.

file1
dir2/dir3/file2
dir6/file4

Note2: Source files are in local machine. But the list of files which are to be copied is being fetched from remote machine.