I answered something similar to this earlier…about going to the mall with a boy.
Instead of dating, start with inviting a boy (or a group of friends to the house with the boy) so that your parents can meet him and get used to seeing him around. I promise you that if what you want to do is hang out with a boy….you can invite him home, have him watch a movie at your house and then go sit outside on the patio and chat. It’s really about just being with someone, not neccesarily having to be out somewhere right away.
Then, invite him (any him if you are dating) to go with you and your parents to events——like an art fair, the museum, a party for your Aunt LouLee, the Christmas party at your dad’s office….events where the family will be and they can act as chaperones.
Eventually, they will let you go out unchaperoned if they know who he is.
As for chaperones (I told this in that other answer)...I always had to take my little brother with me. It was annoying, but I got to be with my boyfriend and that was the most important thing of all. Eventually, he didn’t have to go with me anymore as my parents got to know my boyfriend.
Good luck!