4. Jimmy Graham
In the third round of the 2010 NFL Draft, the Saints hit the jackpot with their selection of Jimmy Graham out of Miami. Graham didn’t do a ton as a rookie but by the second year of his career, he was wheeling and dealing, finishing the 2011 season with 1,310 yards and 11 touchdowns, earning him his first trip to the Pro Bowl.
Graham continued to be one of Drew Brees’ favorite weapons up until he was traded in the 2015 offseason. Once he joined the Seahawks, Graham had one solid season but never came close to touching the numbers that he did in the Big Easy.
Following a three-year stint in Seattle, Graham joined the Packers for two years and spent the past two years in Chicago as a member of the Bears.
At the age of 35 (and turning 36 in November), Graham isn’t a TE1-caliber player anymore. He had just 167 yards receiving with the Bears last year (though their quarterback woes could be to thank for the low numbers) and unless a team desperately needs a tight end, Graham might be done as a pro player.