I love dogs because they are fun, affectionate and they hurt me less often than cats.
The main problem I have with cats is that it is too easy for them to hurt you with their sharp claws and teeth. If a dog bites you during play, generally, no harm is done. If a cat scratches or bites you for any reason, blood will be drawn.
I also don't like how randomly aggressive cats can be. With a dog, you generally know it's going to attack you, but with cats, this isn't always the case. I understand that oftentimes when I've been attacked by a cat, that it was just 'playing', but a mauled arm isn't fun no matter what the context. And they can switch from play to extreme aggression at the drop of the hat with no warning. This isn't usually the case with a dog. (I'm only applying this argument to a dog or a cat that you own, not to a random dog or cat off the street as either can be dangerous)
I also feel there is a bit of a double standard concerning cat attacks. I had a neighbor with a cat that would run up to me from behind and attack my ankle, always drawing blood in the process. One day it approached my little sister purring and seemingly friendly. She reached down to pet it and it jumped up and latched onto her face. Animal control wouldn't do anything no matter how often this happened and we reported it.
I had a miniature Schnauser once and it escaped and bit a young girl (no blood was drawn). Her mom called animal control and they threatened to put it down if it happened again.
I know this is all anecdotal, but I really do feel cats get away with everything short of murder because they are small and can't kill someone the way a big dog can. But in my experience, they cause far more harm than dogs. They're just so tempermental and have some potent weaponry.