Whakaotihia te rerenga e whai ake nei: Ko ana wikitoria whakataetae ko te waahi tuatahi (+ 6−0 = 9) me Boris Spassky i te Chigorin Memorial i Sochi 1965, tuatahi i Maribor 1967 i mua o Samuel Reshevsky, tuatahi i Krems, me te tuatahi i Amsterdam 1980 i honoa ki a Hans Ree. I te tau 1950, i tohaina e Unzicker te utu mo te kaute pai rawa atu (+ 9−1 = 4) me Miguel Najdorf mo tana mahinga i runga i te papa tuatahi mo te roopu Tiamana ki te Hauauru i te
Ko te Dubrovnik Chess Olympiad. I te Tel Aviv 1964 Chess Olympiad Unzicker i eke ki te 13.5 nga tohu e takaro ana i te poari tuatahi mo te roopu Tiamana ki te Hauauru i toa i te mētara parahi i runga i te kaha o te wikitoria 3: 1 ki te Soviet Union. I tohaina ano e Unzicker te tuawha (+ 2−1 = 14) me Lajos Portisch i te 1966 Piatigorsky Cup i Santa Monica, California. Ko Boris Spassky, Bobby Fischer, me Bent Larsen anake i mutu i mua i a Unzicker. I whakanohoia a Unzicker ki mua i te toa o te ao a Tigran Petrosian, Samuel Reshevsky, Miguel Najdorf, Borislav Ivkov, me Hein Donner. I Hastings 1969<unk>70, Unzicker oti tuarua (+4−0=5) i muri i Lajos Portisch me i mua o Svetozar Gligorić me te toa o mua o te ao a Vasily Smyslov. I mutu a Unzicker i te tuarua (+3−2=7) ki a Viktor Korchnoi i Awherika ki te Tonga 1979. He kaiwhakawa kua reti, kei te takaro tonu ia i te mekemeke hei poari tuatahi mo te roopu karapu "Tarrasch Munich".