 Nyora kupfuurira kweiyi ndima - Mishin akakwikwidza mumakwikwi evanhu vari voga mukati meSoviet Union uye akahwina menduru yebronze pa1964 Soviet Championships. Muna 1966, akatora pair skating sechidzidzo, achishanda pamwe chete nemumwe wake wokutanga, Tamara Moskvina. Vakadzidziswa naIgor Moskvin. Pamwe chete vakakunda 1969 Soviet Championships, vachikunda vose kaviri Olympic Champions Ludmila Belousova uye Oleg Protopopov, uye ramangwana Champions Irina Rodnina uye Alexei Ulanov. Vakaenderera mberi kuhwina sirivha paWorld Championships ya1969. Mumakwikwi eEuropean Championships, vakakunda sirivha muna 1968 uye ndarira muna 1969. Moskvina akatora nguva yekuva nemwana uye vakasarudza kuenda pamudyandigere kuti vatarise pamabasa avo ekudzidzisa, naMishin achitarisa kudzidzisa singles apo Moskvina akatarisa paviri. Mishin aiva nemakore 28 paakasiya makwikwi uye akati aifara kutanga kudzidzisa achiri muduku. 