Did you know everything on this forum was a real place? :'D (except the plaza, but i needed that type of place) In the interest of letting you know what these places look like, some even from the inside so you know if you're describing it for a certain mood, here they are in detail:
Academy of Fine Arts:
http://upload.wikimedia.org/wikipedia/commons/thumb/4/46/Vienna_Academy_of_fine_arts.JPG/800px-Vienna_Academy_of_fine_arts.JPGThe Rathaus:
http://upload.wikimedia.org/wikipedia/commons/thumb/9/93/Rathaus_Vienna_June_2006_165.jpg/746px-Rathaus_Vienna_June_2006_165.jpginterior:
http://acrossthewater.ca/wp-content/uploads/2008/11/festsaal_rathaus_vienna_20071.jpgThe Court Theatre:
http://www.roma-antiqua.de/forum/galerie/data/662/049_Burgtheater.jpgInterior (painted here by my main man Klimt, he also did the murals/ceiling of the theatre):
http://www.abc.net.au/news/image/2762182-16x9-940x529.jpgStefansdom (The cathedral so massive you can't get a good picture of all of it):
http://www.austria-lexikon.at/attach/Wissenssammlungen/Bibliothek/Wien_-_anders_gesehen/Stephansdom/_MG_9023/scaled-640x426__MG_9023.JPGInterior (THE CEILING GOES ON AND ON FOR A LITTLE WHILE LONGER--):
http://sphinx.blog.bg/photos/76646/original/Stephansdom%20(St_%20Stephan)%20interior-3.jpg http://4.bp.blogspot.com/_5qa5OL6ZIiA/TJuLmC2G1rI/AAAAAAAABVs/m0OjQTlTd7o/s400/ViennaTourist-Map-tm.jpgHofburg (Again, hard to get a whole picture of it, because this is just like 1 wing. there are 12-13 wings):
http://free-photos.biz/images/architecture/libraries/thumb/wien_hofburg_nacht.jpgInterior:
http://upload.wikimedia.org/wikipedia/commons/thumb/4/42/Corps_de_Logis_Hofburg_interior_8.JPG/800px-Corps_de_Logis_Hofburg_interior_8.JPG (one of the most recent parts-- the architecture goes back to the 15th century if i remember correctly)
Leopoldstadt today:
http://lh6.ggpht.com/-HurY3dx8Cvg/SwyX3-b-LPI/AAAAAAABQ0U/WSiv0e4tlVs/IMG_0734.JPGThe most iconic thing from the Prater is the ferris wheel, the oldest in existence, about 250 years old, same cars and all:
http://photos.igougo.com/images/p160814-Vienna-The_Prater.jpgCafe Central:
http://mw2.google.com/mw-panoramio/photos/medium/474442.jpgInterior:
http://images.travelpod.com/tw_slides/ta01/34c/bb0/cafe-central-interior-vienna.jpgThe others are woods, which are... woods. And Ottakring and The factories probably don't look at all like they used to, if they even look remotely alike at all/are there anymore.