From 1962 to July 14, 2011, the New York Mets have played more than 7,800 games without one of their pitchers throwing a no hitter.
A good chunk of IO games can be played without an internet connection, but there are a lot of free games you can get on steam and other websites that can be played offline.
Wilt Chamberlain played his entire 16 year career (1221 games including playoffs & all star games) without fouling out.
Carl Yastrzemski played in 3,308 games without being on a World Series winner. Ty Cobb is second at 3,035 games played and Barry Bonds is third at 2,986 games played.
Damion Easley has played the most games without making a playoff appearance
Karl Malone played 193 playoff games in his career, with two teams, without a championship.
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Jiri Crha played 54 games in the 1980-1981 season without recording a shutout, and has a total NHL streak (over multiple seasons) of 69 games. Eldon Reddick has the longest streak without a shutout (132 games) but never played more than 48 games in a single season.