World Poker Tour is one of the best PSP games I own. Possibly a biased opinion due to the fact I am a big poker fan, but even so, this game is excellent for learning somebody the basics, expanding your knowledge, or building up confidence and practicing without the need to risk lots of money in the process.
This very fun game allows you to have quick practice games, or create your very own character, which can enter a kind of continuous tournament which follows as the games 'storyline' so to speak. The in game time generates a new tournament every week, with the option to buy in for big money, or to play one or two sattelites for a significantly reduced fee. After each round, there is an overall leaderboard which displays your current standings in the ranks of the top game players, by ranking in order of money won in the tournaments.
A very well created game that gives hours of fun and keeps you entertained for days !