To tell you the truth in my experience these cases tend to be inversely related to the severity of the illness. I'll explain...
If someone comes in really sick (anginal chest pain, septic shock, open fracture) their definitive care is not going to happen in the ED. In those cases the dynamic is often rapid patient care with next to no focus on talking to the patient or their family. You dispo them as quick as possible and for the most part (I know that EGDT starts in the ED) the docs who save them (or fail to) are going to be elsewhere in the hospital.
Similarly there is the high-risk CC (old person with abdominal pain, ESRD w/ dizziness, new onset a fib). In these cases your final interaction with the patient tends to be, "well I don't know exactly what is wrong with you but I know you need to be in the hospital so we're going to admit you."
Stuff like lacs, simple fx, etc is when you really feel like a doc. Someone comes in with a problem, you know exactly what to do, you do it, and they leave feeling better.
The other stuff that is career-affirming is when you take the extra 1/2 hour to work on the dispo of a complicated patient. Maybe when you talk to the primary oncologist for a few minutes and figure out if you can avoid admission. These tend to be the times when patients feel like they have been listened to and leave the ED still sick but feeling cared for...