Jones-Ferrette, who considered as the nation's medal prospect, nearly missed out of the final rounds in her respective sporting events.
He was considered to be the nation's top medal prospect, although he failed to reach the final round.
The light heavyweight Andre Ward, another top medal prospect, drew a first-round bye.
In the women's event Rachel Cawthorn is a medal prospect in the K1 200 and 500m.
India's one of the biggest medal prospects at London Olympics 2012 crashed out.
Despite the non-selection, Shakes-Drayton was considered to be a medal prospect for the next Olympics in 2012.
Twenty six years on the chances are that Britain could, once again, be thought of as potential medal prospects.
In 2012, Lesun emerged as Russia's best medal prospect, and a top favorite to dominate the nation's victory streak at his first Olympics.
"They'll have to knock me cold to keep me from the gold," he said only last Friday, about his medal prospects.
Antrim lightweight Mark Winters is another with genuine medal prospects.
