Prague is more than Charles Bridge and the castle

where to go for some unusual experience

Náplavka

The quay by the Vltava: ‘You can buy a beer in a plastic cup and dance to live music played at the club Bajkazyl.’
Náplavka, Rašínovo nábřeží, Prague 2, http://on.fb.me/1F8tTCr 

Nákladové nádraží Žižkov

A former freight rail station and now a cultural centre with an outdoor terrace in an industrial space, the activities here focus on architecture, art exhibitions, theatre, film, workshops and discussions.
Jana Želivského 2, Prague 3, http://on.fb.me/1KL7tsi

Žižkov Tower

The tallest structure in Prague’s skyline the tower offers a unique 360° view of the city with thematically capsules, a restaurant, bistro, bar and six-suite. This TV tower located in Žižkov was built between 1985 and 1992.
Mahlerovy sady 1, Prague 3, http://towerpark.cz/en/  

Prague Botanical Garden

The garden invites visitors to come and enjoy open-air (botanical?) exhibitions arranged in an impressive park, the historical Vineyard of St. Claire, the Japanese Garden, the tropicalFata Morgana greenhouse.
Trojská 800/196, Prague 7, http://www.botanicka.cz/hlavni-stranka/general-information-en.html?page_id=1186

Ulice Krymska / Little Berlin in Prague

Krymska Street, a short downhill lane in the Vršovice district of Prague, has exploded with newfound cultural allure. It features a handful of galleries, cafes, bars, etc.
Krymská, Prague 10, http://www.nytimes.com/interactive/2015/04/15/travel/europe-favorite-streets.html?_r=1

Art Gallery

DOX

DOX Centre for Contemporary Art, Architecture and Design is a multifunctional space for presenting international and Czech art, architecture and design. It is located in a renovated complex of former industrial buildings dating from the 19th century. DOX is a dynamic cultural platform and a hub of various artistic approaches and trends.
Poupětova 1, Prague 7, http://www.dox.cz/en/  

National Gallery

The National Gallery collects, studies and exhibits paintings, sculpture, prints, and work in the field of ‘new media’. The collection includes work by Czech and international artists.
Dukelských hrdinů 47, Prague 7, http://www.ngprague.cz/en/ 

Prague City Gallery

City Gallery Prague – the second most important art institution in the Czech Republic after the National Gallery in Prague – was established on 1 May 1963. It was assigned to collect, protect, study and manage Czech art of the 19th, 20th and 21st centuries. 
Mariánské Square 98/1, Prague 1, http://en.ghmp.cz

Galerie u Betlémské kaple (Bethlehem Chapel Gallery)

The gallery focuses primarily on Czech post-war art, surrealism and abstract art from the 1960s. The gallery also specialises in art in the style ofCzechoslovak constructivism and geometric abstraction.
Betlémské náměstí 1004/8, Prague 1, http://www.galerieubetlemskekaple.cz/en/

Kvalitář

Kvalitář Gallery represents a space for direct encounters with/for coming face to face with  contemporary Czech art. The gallery presents outstanding talents in the domestic art scene across different generations and styles.
Senovážné náměstí 1628/17, Prague 1, http://www.kvalitar.cz/en/

Hollar

Gallery of Czech Graphic Art since 1917.
Smetanovo nábřeží 995/6, Prague 1, http://hollar.cz/en/