Here are the 1971 Buffalo Bills, just 3 years removed from being the worst team in football in 1968 with a record of 1-12-1 (awarding them the #1 pick in the draft - O.J. Simpson).
After minor improvement to 4-10 in 1969 and 3-10-1 in 1970, the 1971 squad fell back to 1-13, once again giving them the #1 overall pick (Walt Patulski). It would be 1973 until they finished over .500 again.
Also check out the 1968 Bills.