This was one of my favorite 'casts. I consider myself to be an above average apologizer (I do it a lot more than anyone else I work with) and this 'cast was a great reminder of the art of the apology.
On the M-T main page, Drinkcoffee asked how to accept an apology.
Here are my two cents.
In my mind, there are only two things to say when someone apologizes: "thank you" or "no need to apologize". Truthfully, it should only be "thank you" but sometimes people (over) apologize for things they didn't do.
Talking people out of their apology by dishing back the almost knee-jerk "that's alright" or "no problem" is the worst response to give. Acknowledge the apologizer, make eye contact, smile, and say "thank you".
I'm sure there are more steps, but I have found great success by always saying "thank you".