1. One might say that a) emphasizes the TV and b) emphasizes the phone ringing. But in the end, the meaning is the same.
2. b) and c) are stronger than a): they indicate that you're making a conscious effort of not leaving, while a) shows that you had no plans of leaving in the first place.
3. Not necessarily: a plane can leave in more ways than by taking off. For example, it could be on the way to a hangar. So b) is more general than a).
4. Yes.
5. a) is fine. b) is a bit redundant and unnatural: it's enough to say "the most interesting movie I've seen so far", the meaning is the same as a). c) doesn't work.
6. Yes, though b) is more stiff/formal than a).
7. a) and b) are fine, c) and d) not so much. "I want you to be here" is usually said to express that you miss someone, e.g. a wife calling her husband who's off on a long business trip. She's only expressing her feeling, not actually asking him to cancel his trip and return home.
8. The meaning is slightly different. a) means that you saw her *today*, while b) might have been on any day in the past.
If you're talking about today, I'd suggest to use a) as it's shorter and avoids repeating "in the".
9. 10. Yes, they're exactly the same.