The 1948 Pirates and 1978 Twins are the only teams to lead off the game with a single, double, triple and home run in that order.
Both did so as the home team, nobody has accomplished it as the away team.
Stan Rojek, Frankie Gustine, Dixie Walker and Ralph Kiner
in game 2 against the Phillies on June 13, 1948 (off Schoolboy Rowe and Paul Erickson)
Hoskin Powell, Roy Smalley, Rod Carew and Glenn Adams
against the Royals on August 16, 1978 (off Doug Bird)