The dating service I use is non-electronic. So, they do their "matching", then they call me and describe a woman that they think I'd like to meet. If i like the description, they give me her first name (only) and a phone number. The rest is up to me. Essentially, I give her a call and we talk for a couple days. If everything goes well there, we decide to meet up in person. And that's about it...
So, we've met up and dated a few times. Made each other dinner a couple times as well

But sadly, I just don't feel any physical attraction. It actually does feel a little more like friends than anything else, even I know thats what we both didn't want.