"Winning means fame and fortune. Losing means certain death. Let the games begin." (I think that's a tagline, but it works)

"May the odds be ever in your favor."

"This is no place for a girl on fire." (Catching Fire)

What kind of quotes are you looking for exactly? I could be more of help that way.

"Ladies and gentlemen, let the seventy fourth Hunger Games begin!"

" You never forget the face of the person who is your last hope "
- The Hunger Games

"stay alive"-haymitch.
"i want to show them im not just a piece in their Games"-peeta
"let the hunger games begin,Cato.let them begin for real."-katniss(hunger games(all above)

"You have about as much charm as a dead slug!"- Haymitch

'Strategy is everything' From the blurb of book 1

"Here your dreams are sweet and tomorrow brings them true, here is the place where i love you"

"Only I keep wishing I could think of a way to... to show the capitol they don't own me. That I'm more than a piece in their games"

"The raw hunk of meat that used to be my enemy makes a sound, and I know where the mouth is. And I think the word he's trying to say is 'please'.
Pity, not vengeance sends my arrow flying into his skull"