Nyorai mberi kweiyi ndima - kukunda kweGreece kwakavasimudza muFIFA World Rankings kubva pa35th muna June 2004 kusvika pa14th muna July 2004. Iyi ndeimwe yenhanho dzakakura zvikurusa dzokukwira mumwedzi mumwe chete mumutsetse wapamusoro wepamusoro. Kukunda kweGreece paEuro 2004 ndiko kubudirira kukuru kwemitambo munhoroondo yenyika mumutambo wechikwata, pamwe chete nekubudirira kwechikwata chenyika chebhasikiti cheGreece muEuropean Championships ya1987
, 2005 uye 2006 FIBA World Championship uye zita reWorld Championship reGreece revakadzi vechikwata chemvura mu2011. Chikwata chacho chakaoneka pazvitambi uye chakagamuchira menduru kubva kuna Konstantinos Stephanopoulos (Purezidhendi weGreece), Archbishop Christodoulos weAthens, uye kurova maoko kwokufara kunobva kuvanhu vomunyika vakabuda kuzoona chikwata chichifamba nechigaro kubva panhandare yendege yeAthens kuenda kuPanathenaic Stadium uko utungamiriri hwezvematongerwe enyika hweGreek nehwechitendero hwakanga huchivamirira. Vakundi veEuro 2004 vakasarudzwa se "World Team of the Year" pa2005 Laureus World Sports Award yeChikwata cheGore.