I'm looking for a copy utility for OS X that will tell me exactly what is being copied at the moment as well as what has been completed already
If you are comfortable using the Terminal.app for copying files instead of finder, the cp (copy) command has an option to show the files being copied.  The list of previously copied files would be displayed.  The "-v" option stands for "verbose".

$&gt;  cp -vr Messages /tmp/Messages
Messages -&gt; /tmp/Messages
Messages/118942.emlx -&gt; /tmp/Messages/118942.emlx
Messages/122810.emlx -&gt; /tmp/Messages/122810.emlx
Messages/126942.emlx -&gt; /tmp/Messages/126942.emlx
Messages/127552.emlx -&gt; /tmp/Messages/127552.emlx
Messages/133765.emlx -&gt; /tmp/Messages/133765.emlx
Messages/133912.emlx -&gt; /tmp/Messages/133912.emlx
Messages/134148.emlx -&gt; /tmp/Messages/134148.emlx
Messages/43442.emlx -&gt; /tmp/Messages/43442.emlx
Messages/43443.emlx -&gt; /tmp/Messages/43443.emlx
Messages/51858.emlx -&gt; /tmp/Messages/51858.emlx
Messages/51859.emlx -&gt; /tmp/Messages/51859.emlx
Messages/51860.emlx -&gt; /tmp/Messages/51860.emlx
Messages/51861.emlx -&gt; /tmp/Messages/51861.emlx
Messages/86518.emlx -&gt; /tmp/Messages/86518.emlx
Messages/86905.emlx -&gt; /tmp/Messages/86905.emlx
Messages/9164.2.emlxpart -&gt; /tmp/Messages/9164.2.emlxpart
Messages/9164.emlx -&gt; /tmp/Messages/9164.emlx
$&gt;