In the entire Kansas City Chiefs history, they have only had to pick two (2) "Mr. Irrelevant" in the draft.
The name arose in 1976, when former USC Trojans and NFL receiver Paul Salata founded "Irrelevant Week" in Newport Beach, California. There is however a rich history of the final picks in the draft dating back to 1936. The name of "Mr. Irrelevant" has only recently stuck with people.
It started for the Chiefs in 1970 when they picked Rayford Jenkins a DB from Alcorn A&M. He was the Round 17, number 26th pick in that draft. Jenkins was 6'1", weighed 212 and ran a 40 in 4.5 seconds. Jenkins also happened to be the cousin of none other than the Chiefs RB Robert Holmes. This was also the year that one each Terry Bradshaw was asking for the ungodly amount of $150,000. Jenkins apparently didn't make the cut and was released that year.
The second one ever picked by the Chiefs is one we all know of. Ryan Succop. Doing an outstanding job as a Rookie kicker in the NFL.
Although we didn't pick him in 1978, there is one that we did end up with and he is the only one to ever have been invited to a Pro Bowl. That would be the QB Bill Kenney. Kenney was given the "honor" of being named Mr. Irrelevant in 1978 when he was drafted by the Miami Dolphins. The award traditionally is given to the last selection of the draft and Kenney earned the award as the second-to-last selection when Lee Washburn the last player taken suffered a back injury and failed to report to camp. He was cut from the Dolphins at the end of training camp and picked up by the Chiefs in 1980. After his career with the Chiefs he became a Missouri State Senator for 8 years.
By comparison the Raiders have had to pick seven (7) since 1970.