Season 1:

From the Shadows

Establishing Character Moment:
- Taylor is depicted to be an overprotective older sibling of Hayley.
- Hayley
My God, What Have I Done?: Hayley's desire to leave their hidden village leads to her and Taylor accidentally launching a Jaeger, garnering the attention of Copperhead, which then finds the village and slaughters everybody except her and her brother.
My Parents Are Dead: When Taylor refuses to leave the community until their parents come back for them, even though it's been five years since they heard anything from the outside world, Hayley bluntly tells him she believes that they're dead. Unfortunately, as far as their mother is concerned, she's proven to be right by the final episode.

Into the Black

My God, What Have I Done?: After the destruction of their hidden village in the previous episode, Hayley's even more devastated when — through drifting with her brother — she learns that he subconsciously blames her for the tragedy.

Bogan

Up and Running

An Arm and a Leg: Copperhead bites off one of Atlas Destroyer's arms and consumes it.
Roaring Rampage of Revenge: Influenced by Mei's memories while drifting with her, Taylor attacks Copperhead intending to get revenge for his slaughtered friends. It doesn't end well.

Escaping Bogan

Cruel and Unusual Death: Joel, courtesy of the explosive Shane implanted in all of his radios as an "insurance policy" against anyone who would betray him.

Boneyard

Showdown

Season 2:

bOy

The Never Never

Divide

Sisters of the Kaiju

Mind, Body, Soul

The Twilight Run

Final Approach