- As of the 2003 season, 4 time National League All Star (1994, 1997, 1998, 2001)
- His father, Felipe Alou, managed Moises during his time with the Montreal Expos (1990-1996).
- Two of his brothers are currently playing minor league baseball -- Felipe Jr. (in Kansas City's organization) and Luis Emilio (in Florida's farm system)
- As of the 2003 season has played for the following teams: Pittsburgh Pirates (1990), Montreal Expos (1990-1996), Florida Marlins (1997), Houston Astros (1998-2001), and Chicago Cubs (2002- ).
- Father Felipe Alou replaced Dusty Baker as manager of the San Francisco Giants after the 2002 season. Baker in turn became manager of the Chicago Cubs, who now manages his son Moises.
- Father Felipe and uncles Matty Alou and Jesus Alou played the outfield for the San Francisco Giants on 15 September 1963, the first all-brother outfield in MLB history.
- Outfielder for Pittsburgh Pirates (1990), Montreal Expos (1990, 1992-1996), Florida Marlins (1997), Houston Astros (1998, 2000-2001) and Chicago Cubs (2002-present).
- Named to 4 National League All Star Teams (1994, 1997-1998 and 2001).
- Member of 1990 National League Eastern Division Champion Pittsburgh Pirates team. Member of 1994 National League Eastern Division Champion Montreal Expos team. Member of 1997 World Series Champion Florida Marlins team. Member of 1998 and 2001 National League Central Division Champion Houston Astros teams. Member of 2003 National League Central Division Champion Chicago Cubs team.
- Finished 3rd in voting for National League MVP in 1994 and 1998. Finished 10th in voting for same award in 1997.
- .508 career Slugging Percentage is 74th All Time.
- Made major league debut on 14 September 1991.
- Named to "Baseball Digest" magazine's 1992 Rookie All-Star Team.
- (December 27) Signed with the San Francisco Giants. (2004)
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