They need to make a Batman vs Spiderman comic one day. That's my dream fight in comics. They had a very brief "fight" in a crossover. It was just 2 panels, one threw the other but he landed on his feet. That was it cuz then they teamed up. Me and my best friend have had this convo many times. He thinks Batbitch would win and I got Spidey.
This fight is best summed up in YouTube video titled "Death Battle Batman vs Spiderman ScrewAttack"