In yet another train first for us, we managed to find a GWR Class 378 train. According to Wiki, The Class 387 Electrostar is an electric multiple unit (EMU) built by Bombardier Transportation.
It made us happy. And we watched some more at Ealing Broadway.
The GWR Twitter people were very helpful in trying to in down where/when the 378 trains might be running. (Paddington to Maidenhead is your best bet)