I actually used this http://tournamentscheduler.net/ to rank the albums. It uses a round-robin system where every album goes against every other album, and every win or draw counts for a certain number of points.

1. These Days (36 points)
2. Slippery When Wet (29 points)
3. New Jersey (29 points)
4. Keep the Faith (29 points)
5. This House is Not for Sale (22 points)
6. Have a Nice Day (22 points)
7. Lost Highway (18 points)
8. Crush (15 points)
9. The Circle (12 points)
10. Bounce (9 points)
11. 7800 Fahrenheit (6 points)
12. Bon Jovi (3 points)
13. What About Now (0 points lol)

There's a few draws in there so it basically ends up as

1. These Days (36 points)
2nd equal. Slippery When Wet, New Jersey, Keep the Faith (29 points)
5th equal. This House is Not For Sale, Have a Nice Day (22 points)
7. Lost Highway (18 points)
8. Crush (15 points)
9. The Circle (12 points)
10. Bounce (9 points)
11. 7800 Fahrenheit (6 points)
12. Bon Jovi (3 points)
13. What About Now (0 points lol)