I arrange interviews for stories, doctor’s appointments—anything to get me out of the house and connected with others.

【翻译】我安排采访好写报道，预约看医生——安排任何需要我出门与他人接触的活动。

【分析】arrange 的宾语分别是：

1. interviews for stories

2. doctor’s appointments

3. anything

▲ 破折号的意思相当于and，不要把anything 理解为前面两个名词的同位语，anything 是对前文两个名词的延伸，表示任何其他活动。

to get me out of the house and connected with others：是两个并列的定语，修饰anything。

to get me out of the house and connected with others =

to get me out of the house and get me connected with others

▲ 理解为目的状语，也可以。

破折号后面的内容怎样理解更符合逻辑，更合理？

I arrange interviews for stories, doctor’s appointments—anything to get me out of the house and connected with others.

I arrange interviews for stories, doctor’s appointments and anything to get me out of the house and connected with others.

编者译文：我安排采访好写报道，预约看医生——安排任何需要我出门与他人接触的活动。

你的第3种理解是正确的。

stories, doctor's appointments,anything to get me out of the house and connected with others

这3个名词短语属于平列平行关系。不同的就是后面名词内容是不确定的，是任意的，前面2个名词能容是具体的可确定的内容。