Before Facebook, it used to be that if you wanted to meet someone who liked the same activities that you enjoy, you would have to go and do those things to meet that person. In the post FB world however things are different; If you like reading you do not have to go to the book store, if you like sports you do not have to go to a sports bar, and if you like dancing salsa you do not have to put on your dancing shoes at all.
You can meet the people who enjoy those same activities by doing a search for that activity on the social media site itself. People who enjoy doing those same things will join the groups and you can start a conversation with any of them and quickly become a Facebook dater with a plan. The same principle works for fans of a certain band, city, place, business etc.
The way that you could become a Facebook dater using social groups and fan clubs is by starting a conversation in the group itself. Join and introduce yourself; you do not have to say that you are looking for a date there; you only need to inform them that you are part of the group and your location. With some luck you will notice that people start replying and then you should keep that conversation going.
If for some reason what you are looking for does not have a group then create one and invite your friends to join. The number of people will give the group some credibility and the more people that join, the more chances you will have to find the date of your dreams. Fan clubs are great especially if say your favorite band is coming to town. You can ask openly if someone would like to catch the concert with you, and just like that you could have yourself a date.