When Riker is talking to Wesley in Ten Forward, Rikers glass is sitting in front of him. The handle keeps facing away from the camera when the camera angle keeps changing from Rikers POV to Wesleys POV.
When Riker is Talking to Wesley in Ten Forward Riker picks up his glass by the handle and takes a drink when the camera angle changes not 2 seconds later the glass has turned around and he is holding it on the opposite side of the glass and not the handle.
After Data brings Sarjenka with him to the bridge, and Capt. Picard asks Counselor Troi to escort Sarjenka to Sickbay, she resists and raises her hands in front of her face in fear, and when she does so, you can easily see the fake fingertip extensions on her hands.