WOW Ness! That's a doozy of a question; a real stumper.
Firstly, recording sucks! I think it was me who said that recording gets easier. It definitely has gotten easier for me over time... but it still well and truly SUCKS. And it sucks for exactly the reason you've stated. You can have a fabulous take and then screw it up close to the end because nerves kick in. Well there are lots more reasons for why it sucks. But that's a big one.
Before I talk about my own experiences, I'd like to make an observation; or actually repeat one that wasn't made to me. You Ness, as a TG teaching guru whom we all love and admire, have HUGE additional pressures on you that we mere mortals don't have. Some of the big ones are that:
- you have time pressures that we don't have - whether you have the flu or a sore throat or not, you still do your best to deliver a lesson every week. And you often develop the lesson from scratch; having only been introduced to it recently - or at least having often never taught it
- your lessons are official TG offerings - which have longevity.
I'm constantly amazed at the quality and quantity of lessons you churn out. And I can't think of a playthrough that wasn't stellar. That includes the last one which I thought was AWESOME.
But I'll try to answer your question (or not really answer it). My uploads fall into three types of videos; highly produced collaborations, busking with just me and my guitar and progress videos where I'm asking for advice.
Which one is my favorite? Well ... I rarely go back and watch my videos. There's always something that I wish I could have done better (I'm never quiet happy with my singing). But, I guess my favourite would probably be one of the collaborations I've done with TG people; probably Ness one of the ones I've done with you or David.
Why are the collaborations my favorites? Because they're fun and because of the creative components; e.g. that I've found a way to enhance something that was already pretty cool, that I've created something myself (a song, a choir, lyrics, a complementary melody, a solo).
But, I've also been able to work on the project until I was (we were) happy enough to post it. I was pretty happy with how the last TZZ video came out. But you know I started that project months earlier. Part of the reason it took so long was that I kept rerecording the vocals ... That's part of the reason why I record vocals and other instruments separately - so I can improve them where needed, rather than having to record everything again.
There's my non answer for the moment. In short my favorites would be the ones I had the most fun doing and the ones I found the most satisfying. Which one... hmmm ... too hard. I've enjoyed them all for different reasons, but yes some more than others I guess.

Hmmm... maybe I'll return later with a video... maybe... :p
By the way - did I mention that I always LOVE your playthroughs?
Many of your videos come to mind, but I think I've have trouble picking a favorite there too.