Shared interests are great, but not essential. Shared emotional states are what you're after.
Let the conversation flow at its own pace, don't try to rush it or control it. You need to let go and be part of the conversation.
The number one reason conversations stall out is that you are not listening well enough.
One of the most common mistakes people make in any conversation is to think about what they want to say next instead of actually listening to what the other person is saying.
You don't need to crave anything, because you are already everything. It's all here, right now.