Kammala wannan jumla: A 1959 yana da fita biyu don BRP, da farko rashin cancanta a Monaco, sa'an nan kuma wani nau'i na biyu na Formula biyu a
Gasar Birtaniya. Ya halarci gasar tsere ta Formula One World Championship Grands Prix guda shida a duka, amma bai sami maki ba. Ya kuma halarci tsere da yawa na Formula One wanda ba na Gasar ba. Tare da mutuwar Archie Scott Brown a Spa a watan Mayu 1958, Brian Lister ya hayar da Bueb don cike wurin zama na Lister-Jaguar da ke yanzu. Bueb ya yi aiki mai ban sha'awa, ya zira kwallaye da dama a wurare masu yawa kamar Crystal Palace da Goodwood a lokacin wasanni na wasanni na 1958 da 1959.