In 1961, the Texas Rangers, formerly known as the Washington Senators, became a professional baseball team, and since then, they have been a member of the American League. There have been eight different postseason appearances for the Rangers over their 61 seasons as a team (50 of those have been in Arlington).

On average, the new Senators lost an average of 90 games every season over the first half of their existence. One way to describe the team’s troubles is “Washington: first in war, first in peace, and yet last in the American League,” an old Senators joke.
A 86–76 record and fourth place in the American League East in 1969 under the leadership of future Hall of Famer Ted Williams was the club’s only victories. Outfielder/first baseman Frank Howard won two home run championships with the squad from 1965 to 1972 as its most decorated player.

1963

The 1963 Season was the worst in the team franchise with the number of win-lose ratios recorded by the team.They  finished with a record of 56 wins and 106 loses to finish 10th in the American League in 1963 season

Season Standings

American League                 W        L      Pct.      GB     Home       Road

New York Yankees              104      57    0.646    —      58–22     46–35
Chicago White Sox             94        68   0.580    10½   49–33     45–35
Minnesota Twins                 91       70    0.565   13       48–33     43–37
Baltimore Orioles                86       76    0.531   18½    48–33     38–43
Cleveland Indians               79        83    0.488   25½    41–40     38–43
Detroit Tigers                      79       83    0.488    25½   47–34     32–49
Boston Red Sox                   76       85    0.472    28       44–36    32–49
Kansas City Athletics           73       89    0.451     31½    36–45   37–44
Los Angeles Angels             70       91    0.435     34       39–42   31–49
Washington Senators          56      106   0.346     48½   31–49   25–57