BTW one way to break the ice is to go a bit meta. Imagine saying: "Hello! My name is ${name}, nice to see you! One of my favorite ice-breaker questions is: ${some_question}. What do you think?"
It evokes smiles, it allows the other party to answer the question, share their own question, discuss the process of getting into a friendly conversation, etc, all without being formulaic.
How is this not formulaic when you literally used a formula to describe it? With variables and all. It's not bad but pretty contrived and clearly rehearsed and kinda corny. People smile when someone makes a bad pun also.