I've provided a link that documents several sources showing this is a false claim even after disregarding oil sands. Would you please support your claim?
I googled “oil discoveries by year” and got some hits, but none that you would be likely to accept as the sources all tied back to ASPO or some other peak oil group.
The charts I saw agreed with my recollection. Peaks in discoveries in the late 1930s, [Burgan in Kuwait and the first of the Saudi Super giants] the late 1940s [Ghawar] and the late 1960s [Western Siberia, North Sea and Prudoe Bay]. Since, some elephants, but not nearly enough. A few years back, the Caspian was seen a almost another Saudi Arabia. Now Khasgan, the one true giant is proving to be a bit of a disappoint although still one monster of an oil field.
I did not see was anything that disputed the notation that we haven’t found another North Sea ... well since the North Sea in the 1960s or that in any year since the 1980s where new discoveries exceeded production.