To complete these levels, use the D-Pad! They don't tell you in the game.
Run-away Car
To get the pick-ups, lean only slightly and you won't get the train hurt. Use the X button to increase the speed.
Tennis with Jack-In-The-Box
When you play tennis with the Jack-In-The-Box, try to get the power ups on the court. Also, when you serve the ball, try to serve it on the opposite side of him. This works most of the times.
The Chef
After you get past the Chef to find the ticket and you return it to the little Asian boy, you do not have to worry about the Chef again. He is now in a good mood.