What is definitely worth to see in and around Bratislava:
Devin
http://www.castles.sk/devin.php
On a cliff over the rivers Morava and Danube with amazing colours of blue and brown when the rivers are fighting for the naturas synergy. The most oldest documented castle in the history of Slovakia. It is a National cultural monument. Because of the advantageous geographical position, the height over the confluence of the Danube and the Morava rivers was settled as far back as the 5th century B.C. and cultural monuments from the surrounding areas overlapped here.
UFO - the panoramic view of the whole Bratislava, beautiful over the day as well as over the night with a restaurant one lever lower to the view terasse is 95m above the city.
http://www.bratislavahotels.com/bratislava-ufo-bridge-restaurant
Old City with Michael's Gate
http://www.bratislava-city.sk/
The historical core of Bratislava where the most ancient history of the city originated, where the culture has been concentrating and where the best commercial infrastructure can be found. The first record mentioning the town is from the year 907. In 1465 King Matthew Korvín established the first university in Slovakia, the Academia Istropolitana, modeled after the University of Bologna. During this period, Bratislava was one of the wealthiest towns in the empire.
Slavin - the war memorial
It offers an excellent view of the city is the war memorial and cemetery Slavín, which pays homage to the Soviet army.
Modra - for its ceramic and excellent wine
Bratislava's Castle (but I am not the biggest fun, but has a good view)
http://www.slovakheritage.org/Castles/bratislava.htm
This majestic castle stands on a rocky outcrop which forms part of the Malé Karpaty mountains above the Danube river and is an outstanding feature of the capital Bratislava. The massive rectangular building with four corner towers stands in a strategic place which was inhibited during Celtic times and in the time of Greater Moravia. In the 9th century there was a palace and a basilica in the place of the present castle. The architecture of the castle is characterized by the reconstructions and extensions made during the Gothic and Renaissance period as well as during the rule of Maria Theresia. In the middle of the 16th century, Bratislava became the coronation city of Greater Hungary for 200 years and the castle became the king's residence. The sessions of the Hungarian Parlament took place there and the coronation jewels of the Hungarians kings were deposited in the coronation tower. After moving the royal court to Vienna the castle became a General Seminary, i.e. an educational institution, where many outstanding scholars of that time studied. Later the castle was used by the army and it burned down in 1811. Its reconstruction took place in the sixties of this century.
The Bratislava Castle is the National cultural monument.