Rangers, Mariners, and Expos/Nats
Bill Ripken not only never played on a team that won the World Series, he never played in a post-season game! He was on the 1995 Cleveland team that went to the World Series, but they lost to the Atlanta team.
Texas, Rangers
Carlos Beltran has never played for a team that made it to the World Series.
That team never made the MLB World Series.
The Seattle Pilots only played one year, 1969, and then became the Milwaukee Brewers. In 1982 the Brewers won the American League Pennant but the team never won the World Series.
It has never happened in the history of the World Series.
Washington Nationals
After this year there is only ONE active MLB team that's NEVER appeared in a World Series... That team is The SEATTLE MARINERS (Only team that's never won their Pennant)
The San Diego Padres have never won a World Series.
The World Series was not played in 1904 (because the National League team refused to play the American League team) and in 1994 (because of a players' strike).
The New York Yankees have played in the most World Series games.
Yankees