"There are no bad pictures; that's just how your face looks sometimes."
The only real boardgame store in Leipzig is the Capito. There are two stores of this brand, one you can find in the Karl-Liebknecht-Straße and the other one is right in the city centre in the so-called Städtisches Kaufhaus. You can find the exact adresses here: http://www.capitodresden.de/
They are very much focused on games of the Spiel-des-Jahres-type, with the city centre store having a bit more variety. Don't expect too much, though.