From the little i know of Slovakian cinema,some of the better films in recent years include:The Garden,All I Like,Orbis Pictus,Little Country(all by the most significant contemporary Slovak director,Martin Sulik),also,Paper Heads(Dir:Hanek- a documentary),Angel of Mercy(Luther)and King of Falcons(Vorlicek).2 prominent directors of the Czechoslovakian New Wave,Kadar(The Shop on the High Street,Oscar winner)and Jakubisko(The Deserter and the Nomads)were Slovakian.
The B.F.I.Companion to Eastern European and Russian Cinema has only slight coverage of Slovakia,but is certainly worth getting.
Otherwise,try the Internet Movie Database,browsing by country. 