When playing at a local table tennis club, a player generally needs his racket and shoes.  However, there are some other items that he might want to include when traveling to a tournament.  Below is the list of items that I generally bring:
 
Racket
Shoes
Spare racket – identical and assembled
Extra rubber
Balls
Video camera
Tripod
Hand towel
Floor towel
Glue
Glue sponge applicator
Scissors
Snacks
Drinks
Money
USATT Membership Card
USATT Rule Book
Directions to the venue
Entry form including event format and start times
Notebook and pen
Clothes
 
Tournaments add plenty of stress to the competitors.  Having all the necessary items will just make it more enjoyable and less stressful.   Remember, while flying to keep your racket and shoes with you in your carry-on bag.  Store other items (glue, scissors, etc) in your checked luggage.  Compete, enjoy, and don’t forget the necessities!