Those who say 'casual' games do not require skill, you are wrong. However, if you say casual games are easy to pick up and play, you would be right. They are easy to pick up and play (read as 'have fun'). Games should firstly be about having fun/enjoying one's self.
A person picking up Wii Sports for the first time isn't going to get an 'out of the park ' right away. Therefore it takes a time investment and practice to get good at the game. An extra level is added when your friend starts to pitch at you, then its actually pretty hard.
Wii Fit takes a lot of skill! Some of those balance games really make you focus to get the ball in the hole etc.
Here is where casual games (good ones) and core games (good ones) are the same:
They are fun
They are challenging
They have replayability
Here is where they are different:
Casual games can be enjoyed without a large learning curve
Casual games are better for short play sessions (Oh I have 30 minutes before work)
Casual games are better enjoyed multiplayer with people in the same room as you
Casual games = Gameplay > Graphics
Core games have complex control schemes
Core games try to be as visually impressive as possible
Core games revolve around traditional genres such as RPG, FPS, RTS, etc
I'll also add this post from another thread that I just saw: http://gamrconnect.vgchartz.com/post.php?id=3537993