It seems to be me that you want to do the best you can to minimize the risk of staring them blankly in the face and saying “I don’t know how to answer that question” or “I can’t think of anything right now, sorry” (although it wouldn’t be the end of the world if this happened.) Some tips that I would recommend would be:
1) Practice a lot of Behavioral Interview Questions so that you have a large bank of anecdotes fresh in your mind, so that there will be a lot of questions for which you have already thought of an answer and a lot of different memories to choose from when you’re trying to think back.
2) Think about how the question can apply, even in a small or related way. Ex. “I can’t think of any situations where I have team members disagree with me, but there was a situation where a teacher of mine disagreed with…” or “There wasn’t just one time when this occurred, but I would always have to reject the request to ride the roller coaster twice in a row when I worked at the state fair and …”
3) If you can’t answer the question they were asking for, try your best to give them what they want. Ex. “I actually have not received a lot of constructive criticism recently, but I have always been a firm believer of ‘if at first you don’t succeed, try and try again,’ and so I think that I would be able to handle constructive criticism in a very positive way,” or “I can’t recall any situations where I discovered a problem before anyone else on my team, but in general, I always try to tackle a projects in a very organized and coordinated way, making sure everyone involved meets on a regular basis to communicate any situations that might arise.”

Hope that helps! Good luck out there!