The best way to know Vienna is with the Citybike, you can rent a bike and move all around the city, there are so many Citybike stations, most of them near a building you must visit. It’s so easy cycling in Vienna. There are 1.200 km cycleway just in Vienna!
Everything around the Ring is amazing, the buildings (Opera, Hofbur, TheresienPlatz, Parlament, Rathaus -in the picture-, University, Votivkirche), and the parks (Stadtpark, Burggarten, Volksgarten).
But, that’s not all, Folks! Prater, Belvedere, Schönbrun, Donauinsel are waiting for you
I know, there are more places to see, put them in to a comment please!