This seems to be a bit of a controversial thing with women. Some like tattoos, some don't. I fall into the former category.
As someone who would never get a tattoo myself, I have a few reasons why I'd rather date a guy who has them.
1) Guys With Tattoos Are More Trustworthy (In MY Opinion, Not Necessarily Yours)
I know you're probably thinking "Why the fuck would a guy with tattoos be more trustworthy?"
But in my opinion, someone with tattoos seems like they are less of the type of person to hide something. Tattooed guys seem, to me anyway, to be more open and public about their opinions and thoughts.
Whereas a guy without tattoos seems like they are more hidden and more secretive.
And in my experience, I've been more times correct about trusting a tattooed guy than I have been correct in trusting a guy without tattoos.
2) Tattooed Guys Seem More Creative
A guy with tattoos is more likely to be a musician, artist, photographer, or something else creative rather than someone with a career path in business or medicine. This is a very personal preference as I know a lot of girls love a clean cut business man, but as a musician myself, I have a thing for creative guys.
3) It's Kind Of Badass
I'm not even going to lie on this one; it just looks badass. It gives the guy an edgy feeling and it makes him seem more fun. I personally like that. It's not for everyone, but it works for me.
So there you go. Although I understand why a lot of people don't like tattoos and I don't want any myself, these are a few reasons why I have a thing for tattooed guys.