One of the most renowned players of the club is Harald Bohr, the brother of Nobel Prize winner Niels Bohr, who himself played a number of games as goalkeeper. Other famous footballers from the AB history include Knud Lundberg, who represented the Danish national team in not one, but three sports (basketball, handball and football), and Karl Aage Hansen, who scored 17 goals in 22 matches for the national team. Both Lundberg and Hansen played for the club in its heyday, from the end of the Second World War to the mid-fifties, a period when the club won four championships in ten years.
Since the 1970s, and especially after the introduction of professional football in the 80s, the club has had a difficult time and has been outside the topflight of Danish football. Although, the late 90s were an exception — in 1996 the club got promoted to the top division, and enjoyed a couple of successful years, winning the Danish Cup in 1998-99, and finishing third in both 1999 and 2000.