-He sends Luke to live with family on Tatooine. Even if Vader though his kids died when he choked Padme, the Emperor would have known they were birthed just in time. All the resources he had and couldn't manage to check the home world of his right-hand man and his family. But even though this was Yoda's idea, Ben didn't have the balls to question Yoda and went with the whole thing
-He also kept watching over Luke for almost two whole decades and he didn't even bother to train Luke in the ways of the Jedi. Just decades earlier, the Council was harsh on Qui-Gon for wanting to train Anakin at age nine yet Ben wants to train Luke at age 19? If Luke was being trained at an early age then he could have helped and possibly save Ben from Vader in VI and be able keep his arm in V
-He could of at least told Luke that Leia was his sister when they went to rescue her. It would really save them from embarrassment from that whole kissing moment, or was Ben some creep-zoid weirdo that liked to see incest?
-He went full on politician by being vague as fuck on Anakin and Vader. Vader tells Luke that he his is father and Luke talks to Ben in a vision and Ben said Vader did kill Anakin, but in a certain point of view; yeah, a view after the fact Luke's hand was cut off