Learn Spanish (Spain): Después de que terminó la película, nos fuimos a casa.

Not always! When talking about an action that already happened in the past, después de que is followed by the normal indicative past tense (here, terminó). You only use the subjunctive with después de que when referring to a future action that hasn't happened yet.

Why is the verb before the subject here (terminó la película instead of la película terminó)?

In Spanish, it's very common to put the subject (la película) after the verb (terminó), especially when the verb introduces a new event or sets the scene. You could say la película terminó, but putting the verb first sounds more natural and flows better in this dependent clause.

Why use nos fuimos instead of just fuimos?

The verb ir means "to go", focusing on the destination. The reflexive verb irse (used here as nos fuimos) means "to leave" or "to take off". Using nos fuimos a casa emphasizes the act of leaving the cinema to head home, rather than just the destination.

Why is there no article before casa (like a la casa)?

Just like in English, you use a casa without "the" to mean going "home" (to your own personal home). If you said a la casa, it would sound like you are going to "the house" (a specific physical building, or perhaps someone else's house).