Final answer:
Ariana Grande did not act in the TV show Hannah Montana; she was in Victorious, Sam & Cat, and made a guest appearance in iCarly.
Step-by-step explanation:
The TV show that does NOT feature Ariana Grande in an acting role is Option 4: Hannah Montana. Ariana Grande appeared as Cat Valentine in Victorious (Option 1) and reprised this role in Sam & Cat (Option 2). Additionally, she guest-starred in an episode of iCarly (Option 3). However, she was not part of the cast in Hannah Montana (Option 4), which is the correct answer.