Across the river from the assassination spot you find the nice little Atmejdan park with a music pavilion from Austro-Hungarian times. It' was destroyed and rebuilt and now there is a little beergarden around it - almost as in Englischer Garten in Munich. Just a lot smaller ;) A nice spot for a drink though!
Although there is a fair amount of Ottoman architecture on the left (south) side of the Miljecka, it appears that most of the larger buildings and structures were constructed during the Austro-Hungarian period. This is obviously the case with Austrijski trg, not just because of the name but also because of the imperial architecture. One of my favourite parts of the entire Austro-Hungarian “complex” is the Music Pavilion, which is across the Miljecka from the Austro-Hungarian part of Centar (i.e. between Skenderija and Bistrik). The original Musical Pavilion (Musicki Paviljon) was constructed in 1913 on what was the old Ottoman hippodrome. Unfortunately, that Pavilion was destroyed in the Second World War, and no decision was ever made to rebuilt it until 2004, when the Old City municipality decided to resurrect what seems to be an almost natural growth in this particular spot. I don’t know that concerts are actually held here, but there is a café that will serve you both in the wooden rooftop terrace as well as on the surrounding lawns. The entire atmosphere is really quite enjoyable and relaxing, a chance to really feel as if this were a Barcelona of the Balkans were people did nothing but enjoy themselves and be carefree.