Show the Top Five Comment Scores on a SE Post
Jelly, 6 bytes

NỤḣ5Ṣị


Try it online! or verify all test cases at once.

How it works

NỤḣ5Ṣị    Main link. Input: A (list)

N         Negate (multiply by -1) all elements of A.
 Ụ        Grade the result up.
          This consists in sorting the indices of A by their negated values.
          The first n indices will correspond to the n highest vote counts,
          tie-broken by order of appearance.
  ḣ5      Discard all but the first five items.
    Ṣ     Sort those indices.
          This is to preserve the comments' natural order.
     ị    Retrieve the elements of A at those indices.