Close probably is the actor with the most impressive resume who doesn't have an Oscar. But someone has always been in that position. Before Close, holding that place on my lists was Jeff Bridges, who had the spot for a year before winning in 2009 for “Crazy Heart.” He supplanted Kate Winslet, who finally won for “The Reader.” An overwhelming head-shaker for years was how Oscar eluded Al Pacino in “The Scent of a Woman” (1992). Peter O'Toole was nominated for eight Best Actor Oscars, but never won.
Source : https://herald-review.com/entertainment/cain-watch-out-for-un-oscared-veteran-actor-slights/article_32b8538f-f71a-5f0d-a7c4-c53f4e1cc864.html