|Date of birth||18 February 1982|
|Place of birth||Aranđelovac, Yugoslavia|
|Height||1.86 m (6 ft 1 in)|
|FK Šumadija Aranđelovac|
|SK Rapid Wien|
|2004||Austria Wien II||28||(24)|
|2005||SC Paderborn 07||15||(2)|
|2008–2010||1. FC Magdeburg||63||(35)|
|2011–2012||→ Preußen Münster (loan)||26||(3)|
|* Senior club appearances and goals counted for the domestic league only and correct as of 4 July 2016.
Vujanović began his football career at his home town club FK Šumadija Aranđelovac before moving to Vienna. There he played for the amateur team of SK Rapid Wien, then Favoritner AC and DSV Fortuna 05, before he joined FK Austria Wien in January 2004, playing 14 matches in the third-tier Regionalliga Ost. His 19 goals for the club aroused interest from German third-tier side SC Paderborn who signed Vujanović in January 2005.
With his new club he won promotion to the 2. Fußball-Bundesliga and played four matches in Germany's professional second-tier league before joining Regionalliga Süd side SV Wehen in January 2006. Despite scoring three goals in eleven matches, Vujanović moved on in the summer 2006, joining Kickers Emden in the Regionalliga Nord. After initial difficulties he established himself as a regular, scoring 22 goals in 60 matches.
After his Emden contract ran out, Vujanović joined 1. FC Magdeburg at the beginning of the 2007–08 season. He became a first team regular and was the only player to appear in all 34 matches in that season, also becoming the club's top scorer with 20 goals. For the 2009–10 season, Vujanović was made captain. When Magdeburg missed out on promotion to the 3. Liga, Vujanović dissolved his contract and joined F.C. Hansa Rostock for the 2010–11 season. He signed for Preußen Münster on loan in August 2011.
- "Regionalliga Nord – Torjäger". kicker online (in German). Olympia-Verlag GmbH. Retrieved 6 October 2009.
- "Radovan Vujanovic neuer FCM-Mannschaftskapitän" [Radovan Vujanovic new FCM team captain]. Official Site (in German). 1. FC Magdeburg. 23 July 2009. Retrieved 6 October 2009.
- "Kapitän Radovan Vujanovic in der nächsten Saison nicht mehr an Bord" [Captain Radovan Vujanovic no longer aboard in the next season]. Official Site (in German). 1. FC Magdeburg. 8 June 2010. Retrieved 9 June 2010.
- "Vujanovic und Pelzer wechseln zum F.C. Hansa – Pannewitz bleibt" [Vujanovic and Pelzer join F.C. Hansa – Pannewitz stays]. Official site (in German). F.C. Hansa Rostock e.V. 9 June 2010. Retrieved 9 June 2010.