Fantastic question and indeed a tricky one to tackle.
Personally I have developed a style of approaching rapport building with interviewers just the same way you would approach when you meet anyone for the first time.
In the book Presence: Bringing Your Boldest Self to Your Biggest Challenges, author Amy Cuddy summarises that people within seconds (if not within minutes) answer two questions for themselves when they first meet you:
1. Can I trust this person
2. Can I respect this person
Ideally you may want to get some details on the person before you meet them- their likes/dislikes, passions, style (social, anlaytical) etc- but this may not be feasible. If you can get this detail before hand it will allow to find some common talking points with them.
If not, your starting point is zero. In this instance having some understanding of social styles will help you to deal with them better. Have a look at this- https://tracom.com/social-style-training/model
Here's my top tips:
1. Present your best self- on time, looking sharp and joyful
2. Just be yourself and dont exaggerate to come across as likeable; dont fake. You will the most impact when you stop worrying about proving yourself every 30 sec and trying to impress them. Just try and enjoy that interaction and opportunity to the fullest. This will require a lot of mental self-talk :)
3. Show interest in them- ask simple questions to get to know them; avoid the classic weather talk
4. Try and find some common ground if you can- common people you may know, similar backgrounds/countries/passions etc etc
5. Listen intently and don't interrupt or finish the sentences for them
6. Come across as trust worthy
I also highly recommend this book- The Trusted Advisor by David H. Maister
Overall this is something you will get better at with time and practice.
Good luck and feel free to buzz me if you need more detailed strategies and tools.