Featuring singer Shiro Stokes and radio disc jockey Huggy Boy, it was produced by Jammin' James Carter.

Clif Richey, the manager of A Lighter Shade of Brown, wanted them to write a song with a vibe similar to that of "Summertime" by DJ Jazzy Jeff & The Fresh Prince, which was a hit at the time, but about what their friends and family did at the park.

As a result, the duo composed "On a Sunday Afternoon", in which they rap about topics such as "jamming the oldie tunes" and "kids playing on the merry-go-round".

[1] The song contains samples of "Groovin'" by the Rascals,[2] "Crystal Blue Persuasion" by Tommy James and the Shondells, "Papa Was Too" by Joe Tex and "La-La (Means I Love You)" by the Delfonics.

The music video was shot at Legg Lake Park in the Whittier Narrows Recreation Area.