Holding strong after more than a quarter century, this power lunch powerhouse is still serving upscale diner classics in its glam old-Hollywood setting on Wilshire. The spot is named after the owner’s grandfather’s feisty mistress, who dabbled in fight-promoting -- which explains the crazy mural of the 1985 Hearns-Hagler fight looming overhead. Kick it old school with a three-martini lunch and American favorites, like the turkey burger topped with Muenster and Thousand Island, or the dry-aged steak with beer-battered fries. Or, go for one of the more-random gems on the menu: the amazing guacamole, made tableside. If you’re lucky, you’ll get Pablo, a guac-xpert who’s been mashing avocados at Kate’s for over two decades.