Both Chinese Pie and Shepherd's Pie are pretty similar and there's not too much difference from what I can tell between the Chinese Pie and Shepherd's pie.
That is other than when making Chinese Pie they don't usually use the potatoes as a crust, but cook them in with the meat to make the Chinese Pie.
Shepherd's Pie is made with lamb, and when made with beef is called cottage pie.
From what I remember too is that they are similar pies and may actually be the same pie but with different names except for some people when they make Chinese Pie they may use different ingredients than they would when making Shepherd's Pie.
So sometimes you might be eating the same pie when you eat either Chinese Pie or Shepherd's Pie depending on how it was made.