Ed's Father has to be my favorite Cowboy Bebop character. Yeah he didn't have a large role in the series(or prob 10 mins worth), but in my opinion, he had a great effect. Not only could he crush Spike like a bug, but the little time he was on screen seemed to show me how humanistic the rest of the characters were.
I have met a few people who have left their families with almost no second thought and persue their dreams.
Plus how he caught Edd/stood motionless against intimidation and tossed the egg, showed strength, concentration, and finness.
Thats how I saw it lol