Here you go, what I most like in Budapest are Chain Bridge, the Houses of Parliament, St. Stephen's Church and spacious great avenue Andrasy which leads to the magnificent Heroes' Square.
Construction of the Chain Bridge started in 1842 under the supervision of the Scottish engineer Adam Clark. This Bridge is 375 meter long and 16 meter wide and was opened on November 20th 1849. At the time the suspension bridge was the longest in Europe and a with just two towers supporting the spans with giant iron chains. The chains gave the bridge its name. The beautiful bridge towers are decorated with the Hungarian coat of arms. Imposing stone lions, the work of sculptor Janos Marschalko, guard the bridge on either side. According to legend, the sculptor threw himself in the river when, during the bridge's opening ceremony, a spectator proclaimed that the lions had no tongues. In reality the lions do have tongues and the sculptor lived on for several more decades.
The Chain Bridge survived an attempt by the Austrians to destroy it in 1848, during the War of Independence. In 1945 however, near the end of World War II, the bridge was blown up by the Germans in an attempt to halt the progress of the Red Army. The bridge was one of the first structures to be rebuilt after the war, and it reopened in 1949. The current bridge is an exact copy of the original.
House of Parliament
you'll notice is the amazing similarity to British Parliament, and than you find out a fact that its desinger, Imre Steindl, was inspired by the Houses of Parliament in London.
The church was finally consecrated in 1905 and on December 8th.
You can travel by elevator or walk up 302 steps to the terrace around the dome from where you can enjoy a panoramic view of Budapest. The wiev is fantastic, try!