You don't have to get the latest game on the market as a gift to make an impression. There are plenty of older PlayStation 2 titles that could make great gifts this holiday season. Here are some suggestions:
For the Sports Fan:
Playstation 2 has some of the best sports games available. Among the best of the best are:

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NFL Street - In this game you create your own football team, relying upon about 100 licensed teams and players.
For the RPG Fan:
Kingdom Hearts - This one is a classic. It's also great for introducing someone to the RPG genre.
For the Puzzle/Strategy Game Fan:
Puzzle games are always a big hit. A great puzzle game is Puzzle Quest: Challenge of the Warlords. I guarantee, it will keep the gaming fan occupied for hours.
For the Kids

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Namco Museum 50th Anniversary is a collection the whole family can enjoy. Play your favorite classic games with that special kid in your life. Titles include
Pac-Man, Galaga, and Dig Dug. For the Action Adventure Fan:
Red Star - This game is based upon a graphic novel by Christian Gossett. It allows players to engage in melee combat reminiscent of classic Nintendo games.
There are many other great choices. You may want to also look at some of the lists compiled here on Bright Hub such as "5 Great PS2 Games You May Have Missed" and "PS2 Games That You Really Need to Import" for even more great gift options.