Here's a simple breakdown of the remaining albums for you, pick the one that most sounds like the thing you'd like:
Bon Jovi: Gritty 80s pop-metal, great guitar work, somewhat naive songwriting, some very high vocals
7800 - A heavier, rawer, darker and better (IMO) version of the first album
Blaze Of Glory - A mix of 70s style blues rock numbers, and soaring epic rock ballads ... fantastically written and the vocals are incredible
Stranger In This Town - Very bluesy, also fantastically written, and Richie's voice is also fantastic throughout, and the guitar work is so soulful
Destination Anywhere - Sort of alternative pop ... again well written, vocally and musically about what you'd expect for an album between These Days and Crush, its quite different to any of the other albums though
Undiscovered Soul - Less bluesy and more radio friendly than Stranger ... soulful blues pop rock, if that makes any sense!
Bounce - Very varied, simultaneously contains some of their heaviest material since Keep The Faith, and possibly the poppiest material they've ever recorded ... It also for the most part has simpler song structures and short songs, but is quite experimental in terms of sound
Have A Nice Day - Essentially a modern rock album as performed by Bon Jovi, it's solid with some good (and some great) songs, but its not very daring