Buda

western buda
Elizabeth Lookout

Erzsébet kilátó is Budapest's highest peak with its 527 meters. One possible 'vehicle' to reach it is the chair lift (http://www.libego.hu/inde...) Libegő, starting out from the terminal of bus 291. Open hours of the Chair-lift: between 15th of May and 15th of September: 9AM-5PM, between 15th of September and 15th of May: 9:30AM-4PM. A single ticket costs HUF 750 and and a return ticket HUF 1300.

castle hill

See details in the Castle Hill article. You can walk around in the old romantic streets of the hill or see the great view of Pest from there.

northern buda
Museum of Victor Vasarely
at Szentlélek tér. -- Take HÉV from Batthyány tér and get off at Árpád-híd stop. The museum entrance is just next to the square where many buses stop. The museum contains the work of Vasarely, a figure of 'op art'. The works are excellent and are fun to watch.
Margaret Island
Margitsziget. Margaret Island is connected to the city by Árpád Bridge to the north and Margaret Bridge to the south. You can stroll for hours in its large parks.

On Hajógyári-sziget Island on the Danube, Budapest hosts the Sziget fesztivál every August. It is Central Europe's most popular summer festival attracting more than 300,000 visitors. Young and old, Hungarian and foreigner can find his/her entertainment. Take HÉV from Batthyány tér and get off at Filatorigát stop. Follow the crowd.