Dragon city:
Dragon city is one of my favorite games on facebook. The logic is simple you have to train and breed dragons and engage them in battles to win gems. The world is dynamic and its fun. Try it out I bet you will never regret it.
Candy Crush Saga
This game can be fun and also a hair puller at times. So this is rather similar to bejeweled, but you replace them with candies. The cool part about it is that you can make some really special candies that help you clear the puzzle. The basic premise of the game is that you have to complete your stage by either removing the selected squares, collect fruits, achieve a certain amount of points or clear the stage with a time limit. There are many combos that you can use to help you attain your goal. If you line up 4 in a row you get a color candy that can wipe out an entire row vertically or horizontally. There is also the candy bomb that can blast an area of 3x3 or 5x5 if you can manage to get 2 combined together. They are extremely powerful. There is also the chocolate candy that can clear the same colored candy.
This game is also extremely challenging sometimes because some stages require some thinking for a bit before making a move. The beginning puzzles can be easy and require not much brain power. However, as you get to the latter stages starting from 50 plus, they amp up the difficulty. You can buy Facebook credits to help you get some bonus special abilities to clear the puzzle, but I wouldn't recommend it as it really takes away the challenge of the game. Sometimes, I spend as much as an hour trying to solve one of the puzzles. I would definitely recommend this game to puzzle game lovers. It really will get you addicted as well, so let me warn you beforehand!