| Award | Nominee | Season | |
|---|---|---|---|
| Critics' Choice Television Award for Best Drama Series (2022) | - | shortlisted | |
| Primetime Emmy Award for Outstanding Drama Series (2022) | Season 1 | shortlisted | |
| Primetime Emmy Award for Outstanding Lead Actress in a Drama Series (2022) | Melanie Lynskey | - | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (2023) | Season 2 | shortlisted | |
| Primetime Emmy Award for Outstanding Lead Actress in a Drama Series (2023) | Melanie Lynskey | - | shortlisted |