Another wonderful possibility for a day trip is Bratislava, the capital of Slovakia. It is actually very close to Vienna, and you can get there by train in about an hour! Bratislava has a lovely old town and, most excitingly, a beautiful castle sitting high on a hill overlooking the Danube River. There are several historic castles and fortifications in and around the city, making it a fun place to explore.
For a longer weekend adventure, I'd love to visit Prague, the capital of the Czech Republic, or Budapest, the capital of Hungary. My roommate and her boyfriend actually went to Prague this weekend! Prague is famous for its beautiful bridges, medieval buildings and enormous castle, while Budapest is known for its impressive Parliament building, historic thermal baths and beautiful views along the Danube.
One thing I love about living in Vienna is how easy it is to travel to other places in Europe. Many of these cities are connected by comfortable trains, and you can sometimes find very inexpensive tickets if you book ahead. Austria also has something called the KlimaTicket, which is an annual public transportation pass. It allows you to travel on most trains, buses and public transportation throughout Austria without having to buy a separate ticket for every journey. It makes exploring different parts of the country much easier! It doesn't cover the international portions of trips to neighboring countries, but you can use it for the Austrian part of your journey.
I hope that once I'm feeling completely better, I can start taking some more little adventures and sharing pictures and stories from these beautiful cities with you!