Sights and attractions in Budapest

Royal Palace (Királyi Palota)

Rebuilt in the 17th-19th centuries in baroque style, the Royal Palace dominates the southern part of the Castle Hill. The National Széchényi Library, (Széchényi Könyvtár) holding the country’s most important collections, book rarities; the Hungarian National Gallery (Magyar Nemzeti Galéria), the Ludwig Museum - Museum of Contemporary Art, displaying masterworks of contemporary art; Budapest History Museum (Budapest Történeti Múzeum) are housed in the Royal Palace.

Castle District (Várnegyed) 

The Castle District between the Dísz tér and the Matthias Church is one of Budapest’s most intimate and attractive walking areas. Visitors have a feeling of traveling back in time when walking through the narrow streets with old gas lamps, medieval buildings, baroque and late baroque palaces.
The Institute and Museum of Hungarian Military History (Hadtörténeti Intézet és Múzeum), and the Museum of Music History, (Zenetörténeti Múzeum) and the Hotel Buda Hilton are also in this district. The hotel’s courtyard encompasses the ruins a 13th-century Dominican cloister. It is worth to visit the legendary Ruszwurm Confectionery (Ruszwurm cukrászda). The confectionery was founded in the 19th century, not only the furniture, but the recipes are nearly 200 year old. The depths of Castle Hill hide a complex of caves; the section called “Labyrinth of Buda Castle” is open for the public.

Mathias Church (Mátyás templom)

Nearly as old as the Royal Palace, it was originally built in the 13th century, but later rebuilt several times. Its present neo-gothic style is the result of a renovation in the 19th century, when it became Buda’s main parish church. 
During the Turkish occupation it was used as a mosque, its frescos were all whitewashed. The walls are again decorated with the most important events of the Hungarian history, together with biblical scenes. 
Its stained glass windows are adorned with the artworks of Károly Lotz and Bertalan Székely. 
The heavily worn painted majolica roof tiles (made by the Zsolnay Manufacture) of the church were removed, to replace them with new ones from the same manufacturer. The removed tiles were sold as souvenirs, to cover repairs. The church has excellent acoustics, so it often houses classical music concerts.

Trinity Square (Szentháromság tér)

The Trinity Square is the centre of the Castle District. Its main ornament is the Trinity Statue, but also boasts the former Town Hall, the Matthias Church and the Hungarian House of Wines. 

Mary Magdalene Tower (Mária Magdolna torony)

It is the only remain of an originally 13th-century church, severely damaged in World War II. Only the gothic style tower was restored. The tower operates as a lookout and plays - carillon every half hour. 

St. Stephen's Basilica (Szent István bazilika)

Budapest’s biggest church is built in the mid-1800s, in classicistic and eclectic style. It has a unique dome with 360° panorama of Budapest, there is lift up to the dome. There are several artworks in the basilica commemorating the name giver, St. Stephen, founder of the Hungarian state and church.

Parliament (Parlament)

Built in neo-gothic style at the turn of the 19th -20th century, its numerous small towers and fine stone laces make it the symbol of Budapest and of the Danube panorama. It is one of the biggest parliamentary buildings in the world, with a length of 265 metres. Inspired partly by the Palace of Westminster, the building is designed by Imre Steindl.
The sumptuous interior design with abundant golden ornaments is unique; governmental receptions are also held inside the dome hall. Since 2000, the Hungarian coronation symbols —St. Stephen’s crown, the sceptre, and the orb— have been on display in the Parliament.

City Park (Városliget) 

Budapest City Park was among the first public parks in the world open to people for relaxation purposes. This place is packed with things to do and places to see.
The Budapest Zoo, housing nearly 500 animal breeds and 4000 plant species, is one of the world’s oldest Zoos. The stone elephants guarding the entrance recall the turn of the 19th-20th centuries. 
The Amusement Park (Vidámpark) is an exceptional fun opportunity, with historical atmosphere. From the big wheel to the dodgem you can enjoy everything. 
The Capital Circus of Budapest (Nagycirkusz) is located between the Amusement Park and the Zoo. The circus has been entertaining people for over 100 years. 
One of Europe’s biggest bath complexes the Széchényi Thermal Bath (Széchényi Fürdő) was opened in 1913 as permanent medicinal bath. Functions as physiotherapy hospital from the 1960s, now offers a wide range of medical services. 
The bath was recently renovated, fancy pools, whirling corridors, jacuzzis, sitting banks were installed, to make bathing even more delightful.

Vajdahunyad Castle (Vajdahunyad vára) 

Another centrepiece of Városliget is the rather bizarre Vajdahunyad Castle, originally built of cardboard and wood in honour of the millenary celebrations. The structure was built in a variety of architectural styles ranging from romanesque to baroque, intended to represent each century since the arrival of the Magyars. It became so popular that it was rebuilt in brick and it is housing the Museum of Hungarian Agriculture (Magyar Mezőgazdasági Múzeum).

Heroes’ square (Hősök tere)

The Heroes’ square at the end of Andrássy Street, commemorating the important events of the Hungarian history, is built for the millenary celebrations.
In the middle of the square, there is a 36 m high column, topped by a statue of the archangel Gabriel, who brought the crown for the first king of Hungary, St. Stephen (Szt.István). 
At the base of the column there is a group of seven mounted figures representing the Magyar chieftains who led the Hungarian people into the Carpathian basin. In the semi-circular arcades of the monument there are statues of the great kings, leaders, statesmen of Hungary. 
At the opposite sides of the Heroes’ square there are two famous cultural institutions: the Museum of Fine Arts (Szépművészeti Múzeum and the Műcsarnok (Art Hall).

Inner City (Belváros) 

The Inner City is always crowded with tourists. There are many attractions in this area all-round the year both for tourists and inhabitants; Vörösmarty square, with the famous Gerbaud Confectionery, the Fashion Street, Danube Promenade, the Vigadó Concert Hall. The Vigadó (unfortunately closed for the time being) attracted leading artists of the world, such as Ferenc Liszt, Wagner, Richard Strauss and Zoltán Kodály.

from wikipedia