Here are some winners of the NIN Award (NIN nagrada) from 2000 to 2020:

• 2000: Milisav Savić for "La Sans Pareille"
• 2001: Živojin Pavlović for "Društvo za baštinu"
• 2002: Muharem Bazdulj for "Koncert"
• 2003: Vladislav Bajac for "Hamam Balkanija"
• 2004: Nenad Veličković for "Sahib"
• 2005: Ivan Aralica for "Graditelj viletina"
• 2006: Vule Žurić for "Blues za Sodomu"
• 2007: Dragan Velikić for "Dante na tvom prozoru"
• 2008: Filip David won the award for "San o ljubavi, smrti i besmislu"
• 2009: Muharem Bazdulj for "Pijavice"
• 2010: Biljana Jovanović for "Petković"
• 2011: Svetislav Basara for "Anđeo atentata"
• 2012: Vesna Knežević for "Valceri"
• 2013: Mirko Demić for "Besani"
• 2014: Saša Ilić for "Pas i kontrabas"
• 2015: Dragan Velikić for "Islednik"
• 2016: Ivan Ivanji for "Moj lepi život u paklu"
• 2017: Vladan Matijević for "Susret pod neobičnim okolnostima"
• 2018: Saša Ilić for "Pas i klavir"
• 2019: Svetislav Basara for "Kontraendorfin"
• 2020: Miljenko Jergović for "Selidba"

For further details and additional context, you can refer to the Wikipedia page: NIN Award.