Casual puzzles are there in many kinds and variations. Here I try to categorize them and give examples which puzzle games I know of. Maybe it helps you discover new entertaining puzzles to play.

Until now I have made the following categories:

kind:	description:
skill	Skill and concentration is needed for controlling the game
bubble	The famous bubble shooter games
floodfill	Fill a multicolored object into one color
dig	Use your finger to dig a path in the sand
mastermind	Use logic to solve the puzzle
Match-3	Find 3 the same objects or colors
maze	follow a path to go through the maze
path	Connect 2 dots without crossing other lines
quiz	Answer questions
riddle	Try to solve it by following hints
rope	unknot ropes
solitaire	To play alone
sorter	Sort colored balls
unique	Not fitting in other catagories