My favorites are Jon Pertwee and Tom Baker; but in a sense, Baker NEEDED to be preceded by Pertwee.
If I remember correctly, Pertwee in a magazine interview said something like this: "If children watching our show imagine themselves IN the story, they need to be able to feel that the Doctor would protect them from the monsters." Pertwee's Doctor always took care of business, making sure that the monsters COULDN'T kill or possess his companions.
When Baker stepped into the role, he inherited the rescuing-hero aura which Pertwee had built up. Thus, he was free to act goofy, but viewers could still be confident that the Doctor would deliver the goods when a crisis arose.