The Devil Rays
Tampa has been eliminated from postseason contention this year, and can only lose one more game to avoid a losing record for the first time since 2007. What was so special about Tampa's 2007 season you ask? That was the last time they played as the "Devil Rays". In honor of the sucky year the Rays had, let's take a look at how changing the name from "Devil Rays" to "Rays" changed the course of a franchise.

• The Devil Rays had a record of 645-972 over the course of 10 seasons. That is a winning percentage of .399. The Rays had a 550-423 record in 6 seasons. That's a winning percentage of .565. 
• More on winning records: the Devil Rays never had one. They went 10 straight seasons below .500. The Rays have gone 6 straight with a record above .500. A perfect finish this year would make that 7 in a row.
• The Devil Rays swam at the bottom of the AL East for 9 of their 10 seasons. Only once, in 2004, did the Devil Rays not finish in the basement. That year, they finished 4th. The Rays have yet to finish a season anywhere below 3rd place.
• The Devil Rays made the playoffs 0 times in 10 years. The Rays made the playoffs 4 times in 6 years.
• In 1998, their inaugural year, the Devil Rays finished 51 games back of the AL East leading New York Yankees. After they became the Rays, and excluding the years they won the east, they would finish a combined 35.5 GB of first place in 6 seasons. 
• The Devil Rays had a run differential of -1621, an average of -162.1 per season. The Rays have a run differential of +572, or an average of +95.3 per season.
• In his two years on the Devil Rays, Ben Zobrist played only one position. Shortstop. They sucked both years. In their inaugural Ray year, Ben Zobrist played 6 different positions, 7 if you include the DH. They won the AL East and made it to the World Series. I'm not saying the Rays got so good after they changed their name because of Ben Zobrist, but the evidence is there. 
• Steve Irwin died on September 4th, 2006 after being attacked by a stingray. The Devil Rays finished that season 6-19, including a losing streak of 9 games, their longest of the season. That's a winning percentage of .240. This terrible end to the season also included a 16-1 loss to the Yankees on September 25th. Read more about blowouts here.

All stats are excluding this current season, because this is the first year the Rays have sucked as the Rays. That being said, they still have 7 games to turn it around. And even with 75-80 record, they still have a run differential of +10. Not as stellar as the usual +95.3, but not as terrible as the dark days of the Devil Rays*.
*That rhyme was completely accidental

Sources: Baseball Reference