Miku has played 433 games as of today, Perfect Tactics' Chano Petersen played 434 in his career, But I don't know of any players that have played any more games.
But this will be interesting in 4-5 seasons time when I have players like our current Papaleo & Petersen who keep playing nearly every game.
I have 6 players in my current team that have played 300+ games...
Miku (433), Petersen (365), Papaleo (358), Watson (355), Kusama (328) & Calavicci (304). Ivor Hardy is next to join the 300+ club with 294 appearances.
4 other previous July Fourth players played more than 300 games: "Original" Papaleo (429), Ramirez (343), Papaleo II (336) and Hogan (310)