There is a way to view private Facebook albums and photos that hasn't been picked up on by Facebook's security team in 2014.
Making the most of this Facebook hack is a little complicated though, so bear with me...
Firstly, you can access any Facebook album (private or public) if you have the direct URL.
For example, if I create a private Facebook album, and set it so that the privacy settings say: only me - it will have a url that can be accessed by anyone.
The same applies for private photos on Facebook. If you wanted to share a private photo that only you are meant to have access to, just click into the photo, right click on it when it is expanded, and select "copy URL".
How can you use that Facebook hack to your advantage? You need someone from the inside.
For example, if a girl you like has a Facebook album of photos that she only shares with her close friends, but that you'd really like to see, then you need to get one of her friends to go to those photos on her Facebook, copy the URL and then send it to you.
What happens if none of her friends will share you the private URL?
Well, if the owner of the profile hasn't blocked search engines from indexing her photos - you can try to search for them using this little trick I found on YouTube.
From there on it, it should be easy sailing for viewing private Facebook albums and photos.