Prior to the mid-70’s, in American football, field goals and kick-offs were kicked by running straight on at the ball, and using the toes, rather than the instep. A specialized shoe was used, with a flat front built across the toes. This type of kick produced a high arc with a spinning ball, unless the kicker deliberately tried to kick higher on the ball, which was avoided for the most part, especially on field goals, because you want the kick to climb above the players on the line of scrimmage, trying to block it.
The difficulty with such kicks was the same as it is with a soccer ball kicked that way: you lose lateral accuracy. The chance of missing the effective “sweet spot” on the ball is fairly great. Thus, even though field goal posts were originally quite wide, you still missed often from any significant distance. And the high arc prevents the kicker from driving the ball a long distance, usually.
However, for a long time, the longest field goal ever kicked was 63 yards by Tom Dempsey, who kicked from straight on. Of course, he did have a slight advantage: he only had half a foot on his kicking leg, which allowed him to use a special shoe that had a larger flat spot on the front. See this picture.
In the late 60’s and early 70’s, two field goal kickers were recruited by AFL teams specifically because they were former soccer players who approached the ball from the side. One was Jan Stenerud, who kicked for the Kansas City Chiefs, the other was Garo Ypremian, who kicked for the Miami Dolphins (among others; the Lions actually found him first in 1966). They were known for their increased accuracy, especially at longer distances (40+ yards). They kicked the ball the same way a soccer player kicks an “instep drive” kick, which is how goal keepers kick goal kicks two-thirds the length of the field from off the ground. Within 10 years or so, almost all place-kickers were using that style. The last such field goal kicked came in 1987; the last full-time straight ahead kicker was Mark Mosely, who ended his career in 1986.
The style was introduced to American footaball, IIRC, by the Pete Gogolak in 1964. He kicked in an exhibition game for the Buffalo Bills, and nailed a 55+ yard field goal at the end of the game. He had learned soccer as a youth in Hungary. No one knew it at the time, but he was the start of a revolution in kicking.