While more noir than action, Bullitt has some of the same elements. Frank is supposed to be just a jaded average middle-aged cop, apparently described in production as "eats a lot of ice cream and never solves a case". Though obviously casting Steve McQueen upped the attractiveness level he's still pretty grounded compared to the roided-out 80's action stars OP is comparing to.

Die Hard was in some ways more of a return to form from Stallone and Arnold.