Nyora kuenderera mberi kweiyi ndima - Mumakore e1980, Ludmila Zaitseva akapinda mumakwikwi akawanda eSoviet Women's Chess Championship. Kaviri akakunda Soviet Team Chess Championship: muna 1983, nechikwata cheguta reMoscow, uye muna 1985 senhengo yechikwata cheRussia SFSR. Muna 1987, Ludmila Zaitseva akapinda muWomen's World Chess Championship Interzonal Tournament muZheleznovodsk kwaakagovana nzvimbo yechitatu-yechina naAgneszka Brustman. Mutambo wakawedzerwa pakati pevatambi vechess vaviri wakapera mukukwikwidza - 3: 3, uye nekutenda kune zvirinani Berger zvibodzwa mumakwikwi makuru Brustmane akapinda mu1986 Vakadzi Vanokwikwidza Makwikwi. Muna 1995, Ludmila Zaitseva kechipiri akapinda muWomen's World Chess Championship Interzonal Tournament
muChișinău uko vakagoverana nzvimbo yechi32-38. Ludmila Zaitseva akakunda Russian Women's Chess Championship kaviri: muna 1993, uye muna 1996. Muna 1996, akakunda Ludmila Rudenko memorial chess tournament muSaint Petersburg. Muna 1998, Ludmila Zaitseva akasvika kuRussia Women's Chess Cup semi-fainari umo akarasikirwa naSvetlana Prudnikova, uye zvakare akarasikirwa naAlisa Galliamova mumutambo wechitatu. Muna 2003, Ludmila Zaitseva akagovana nzvimbo yekutanga mumakwikwi evakadzi eChess akazvipira kumazana matatu emakore ekuvambwa kweSt. Petersburg.