The logo of the Bundesliga famously features a footballer but is Sparta Rotterdam, the oldest professional football club in the Netherlands, one of the few clubs whose badge ignores lions, tigers, town/city coat of arms etc. and actually depicts a player in the club's traditional red and white stripes?
Offhand I can't think of another club logo which includes a footballer - is this yet another distinctive Sparta Rotterdam feature? - but no doubt others will be able to name some other club whose badge also includes a player.
UPDATE
In the following leagues none of the member clubs feature a player in their club badge.
The forty-two clubs in the Scottish Professional Football League.
The twelve clubs in the Welsh Premier League.