The example of anecdote is:
As a young child, I remember loving the taste of popcorn when I went to the movie theater.
The anecdote is the oral stories which are of importance to the subject at hand. They add personal knowledge and experience to the subject. The above sentence tells about the story of popcorn that the speaker had. The story is a personal experience of the speaker. While the other sentences also contain some information about popcorn but they are facts and not personal experiences.
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In the “Letter from Birmingham Jail” by Martin Luther King Jr., he writes to defend himself against the clergymen’s accusations in which he explains his motive on his civil rights demonstrations and strives to justify the desperate needs for nonviolent action in the Civil Rights Movement. His primary audience throughout the letter was to the religious leaders as he was responding to an open letter for criticism, whereas the secondary audiences are white moderates and the religious population. Dr King’s letter addresses that the white attitudes towards African Americans and the Civil Rights Movements in the 1960s were hostile as they were unable to accept the movement, especially in the South. Throughout the letter, he uses various literary and rhetorical devices to justify his actions and show why they aren't illegal.