Texas Rangers: Ivan the great
The greatest Ranger of all time, Pudge Rodriguez manned the dish for 12 seasons in Texas (plus a few games at the end of the 2009 season). He hit .300 eight consecutive seasons and won the MVP award in 1999, when he hit .332 with 35 home runs. He won 10 Gold Gloves and made 10 All-Star teams while with Texas.
And then in true Rangers fashion, he signed as a free agent with the Marlins in 2003. And immediately helped lead them to a World Series title.