Most Consecutive Stolen Bases
Lou Brock achieved 50+ stolen bases for 12 consecutive years. No one else is even close.
Rickey Henderson stole 50+ bases for 13 seasons each, but they were not consecutive. Henderson also had 100+ steals in back-to-back years: 1982 and 1983.
A few more notes:
Billy Hamilton and George Gore are the only 2 players to ever steal 7 bases in a single game.
Eddie Collins stole 6 bases in a game…twice!
Carl Crawford, Otis Nixon and Eric Young, Sr., have each been credited with 6 stolen bases in a single game.