Geiger is one of three Red Sox to hit an inside-the-park grand slam home run at Fenway Park.

[1] Cleveland drafted him as a pitcher from the Cards' Rochester Red Wings top farm club on December 2, 1957.

[12] On July 29, 1960, he was operated on for a collapsed lung at Sancta Maria Hospital in Cambridge, Massachusetts,[13] and was advised to rest fully afterwards.

[18] But then he dropped a fly ball hit by Brooks Robinson with two outs in the 9th inning of a 5–4 Red Sox loss to the Baltimore Orioles on May 27.

[19] He broke up what might have been a second consecutive shutout by 18-year-old $125,000 bonus baby Lew Krausse Jr. on June 23 with a game-winning three-run home run in the 7th inning after a walk to Pete Runnels and an error on Chuck Schilling's sacrifice bunt.

Krausse had pitched a 4–0 shutout of the Angels in his major league debut for the Kansas City Athletics the week before.

[20] Geiger and Jackie Jensen launched home runs in the late innings of a 9–4 Red Sox win over the new expansion Washington Senators on August 23.

[21] In the second game of a doubleheader Geiger pinch-hit for Carroll Hardy, connecting for a triple off Cal McLish which scored Pumpsie Green to earn Boston a split with the Chicago White Sox.

)[24] On June 9, 1962, Geiger crashed directly into the center field wall at Fenway Park attempting to catch a Tito Francona drive as the Red Sox lost to his old team Cleveland in 13 innings.

[26] But on February 27, 1964, Geiger underwent surgery for a bleeding ulcer at St. Luke's Hospital in St. Louis after having been stricken en route to training camp.

[28] He ended up taking the rest of 1964 off because of general fatigue, lack of stamina and an underweight and weakened constitution,[2] but returned the next year.

[2] That October, the Red Sox sold him along with seven other players to their Triple-A affiliate Toronto Maple Leafs in the International League.