Vienna is famous for it’s Viennese coffee houses where you can order a coffee and sit for hours. You have probably heard of the famous ones (Cafe Central , Cafe Sperl , Cafe Museum, Cafe Landtmann for example) but here are some of my favourite ones which are often much quieter, have friendly service and good food.
Cafe Diglas at Schottenstift 2 is very close to Cafe Central, so if the line is too long for this famous cafe, head to Cafe Diglas around the corner instead. It’s a simple but cozy cafe with a nice outside patio in summer (enclosed in a inner courtyard so blissfully quiet). And upstairs is a quiet room for working.
Café Diglas, Fleischmarkt 16 is a small cozy cafe, just across from the stunning Holy Trinity Greek Orthodox Church. The back room is especially quiet and comfortable, a great place to escape the hoards of tourists outside. Their specialty is the delicious Scheiterhaufen (gingerbread style bread pudding with meringue and vanilla sauce).
You may well already know that the Vienna State opera offers individual screens at every seat with subtitles for their performances in 6 languages. The Volksoper also offers English subtitles for their operettas (and their tickets are often cheaper too!). They are currently showing Die Csárdásfürstin which I can personally recommend. Afterwards you can visit Cafe Weimar for dinner.
If you are near the Belvedere place, Cafe Goldegg is a nice traditional coffee house to relax in.