The Basilica is the largest in Budapest. It has a dome height of 96 m/315 feet, and a capacity of up to 8,500 people. Construction began in 1851 when Pest was still just a small city. Jozsef Hild was the architect who began the project, and it was taken over after his death by Miklos Ybl in 1867. It is he who gave the Neo-Renaissance style to this monumental building. In 1868 the dome collapsed, luckily nobody died. Ybl drew up new plans and building started again, almost from scratch. He didn't see his work completed, since he died in 1891. József Krauser finished St. Stephen's Basilica in 1906.
You can really experience the vastness of the basilica from the inside. Walk around and view the works of famous contemporary artists who decorated the interior of the chancel. They dedicated most of their works to St. Stephen (975-1038), Hungary's first king. He was the one who converted the nomad Hungarian tribes into Christians.
Although it's a bit dark inside, you can still admire the marvelous frescoes, statues, and mosaics. Take particular note of the main altar where there is a statue of Saint Stephen carved out of Carrara marble by Alajos Stróbl, with archangel Gabriel holding the Holy Crown above the head of the king. The Patrona Hungariae Altar depicts St. Stephen offering the Hungarian crown to the Virgin Mary and asking her to be a patron of Hungary.
You can see the most precious treasure of Hungary, the mummified right fist of King Stephen, in a small chapel to the left of the Main Altar. The relic is kept in an ornate glass cabinet. If this is your thing, insert a 100 Ft coin and the cabinet lights up. Others will be interested in the largest bell in the country, which tolls in the right tower. It weighs 9 tons.
There are guided tours in English on weekdays at 9:30am, 11am, 2:30pm, and 3:30pm; and Saturday at 9.30 and 11am. The tour includes the chapel and the flood-lit Holy Right of St. Stephen, the treasury, and the panorama view from the cupola (only between April 1st and October 31st). Tickets cost around $7, or $5 without going up the cupola.
You can enjoy the excellent acoustics of St. Stephens Basilica by attending one of the organ concerts, which are held every Monday at 7pm between July and October.