I have two favorites to be honest, though the first one has been my favorite forever and as long as I could remember.
R.O.D The TV
I really love this anime when I first discovered it, thinking the title, and picture on the anime was pretty cool and interesting. So then I just rented it to give it a go and fell in love with the world / story, as well as it's characters. All I can say is that's it's about a group of sisters called "Paper Masters" Or the "Paper Sisters" they call themselves helping people out finding, books, cat's or anything else. More or less like superheros helping others in need. But there is more to the story than just that filled with action, mystery, comedy, and many more things as well. They use "Paper Magic" as they also call it by manipulating the paper to make whatever they want sorta like Origami but this is more advanced and they can use the paper as weapons to fight bad guys, so these girls pretty much kick butt when in battles against the villains. They LOVE books and reading them but the short and pink haired girl in the series Hates books / reading them so is an odd ball in the group for most of the series. I would give it a go even if you like reading since its sorta revolves around that in a way and it's just pretty cool if you ask me. To find out more about it just look on the internet by searching it, also watching it. Lastly it's still not a well known anime so some people probably would never even heard of it.
BloodC
BloodC Is also my favorite anime and would come in second place to be honest. It's like the others of the Blood series but this one is a bit different than all the rest. I really relate to the character Saya Kisaragi a lot and think she is a very strong, beautiful, and bad ass I have to admit for a female character. At first she had this completely other side to her a sweet, caring, innocent type of person then later on in the series she changes to this strong willed, independent, and not showing too many emotions at all other then rage pretty much. So in the series it explains why she changes and became this other person after a while. I wont spoil it so if your curious I would watch it and also look on the internet about information about it more. It's a bit dark somewhat gory so it might not be for everyone but I really fell in love with the story, characters and also the world itself.