The Tampa Bay Rays began as an expansion team in 1998, and have been in the loaded American League East, which also houses the New York Yankees and Boston Red Sox. Despite this, this is a team that is well run and has made the playoffs five times, won the division twice, and in 2008 would win the Pennant. They did not win the World Series, but it was a massive accomplishment for them to get there. The Rays again made the World Series in the COVID-19-reduced season but lost to the Los Angeles Dodgers.
This list is up to the end of the 2020 season.
Note: Baseball lists are based on an amalgamation of tenure, traditional statistics, advanced statistics, playoff statistics, and post-season accolades.