Thank you to all the Vienna experts for help in planning this trip. We stayed at the Hilton Vienna Plaza for 4 nights (review separate). Good location. Through TA we booked Gabriela Jemelka as our guide for 6 hrs. one day and 4 hrs. the next. We had a day 1/2 on our own. She is an excellent guide---extremely knowledgable and will work with you on what is important for you. We wanted to have part of the tour devoted to Jewish sites.
We did a driving tour for a few hours with some stops and then Schonbrunn where we took a train and tram back to hotel.
I had told Gabriela that we were interested in a concert and we stopped at the Concerthaus and we purchased tickets for the next evening. That was a highlight. We thought the acoustics in the hall were the best we have ever heard. paid around E22 for seats pretty high up but it did not matter one bit. We were the only "tourists" there.
Not in any particular order, but we did hit the Mozart , Landtmann's and Demal cafes. All good (tho like French pastries better) beautiful interiors, bought chocoloate from Demel and it was fantastic. Cafe Central was closed for a private event on the day we walked there. Went to the Belvedere and loved the Klimts. And we highly recommend the Imperial Collections of the Habsburgs, a bit difficult to find, but definately worth asking for directions every 5 steps. Did not get to the Spanish Riding School but as we were walking down one street they stopped pedestrian traffic so they could bring the Lipizzner horses across and we were within inches of the beautiful animals.
One highlight was visiing Judenplatz and the Memorial and Museum. Very moving was when Gabriela brought us to the studio of Tommy Frankl who exhibits his father Adolf Frankl's paintings. We sat with Tommy who related his personal history of how he and his mother and siblings eluded the Nazis. His family was from Bratislava and though his father was in many camps he survived and you can see his artwork at the studio.
Would have liked more time---for anyone planning a visit 3 full days is not enough--5 would be more acceptable. Then you could devote a day to the Wachau Valley.