Julio Lugo played for Tampa after the Houston Astros released him early in the 2003 Season. It turned out to benefit both Lugo and the Rays, as he would be their starting Shortstop for the next three seasons.
Desmond Jennings played all seven of his seasons in the Majors with the Tampa Bay Rays, first debuting in 2010.
The Major League career of Aubrey Huff began when in Tampa Bay, where he would play his first six seasons.
Blake Snell began his career with the Tampa Bay Rays, where he played for five years, where it can be argued that he had one monster season and the rest being average to mediocre.