Here's the answer and explanation:
The best answer is were watching because it correctly uses the Past Continuous tense to describe an ongoing action at the time the speaker arrived home.
* were watching is the correct answer.
* watched is incorrect because it implies a completed action.
* had watched is incorrect because it implies an action completed before another past action.
* had been watching is incorrect because it suggests a prolonged action that might have started before and continued until the speaker arrived home, which doesn't fit the context as well.
So, the correct sentence is: No-one even noticed when I got home. They were watching the big game on TV.