Eileen Christina "Bibi" Zillmer (born December 15, 1952) is a former competitive figure skater who represented West Germany for most of her career. She is a three-time (1969–71) national champion and competed at the 1968 Winter Olympics in Grenoble, France; Zillmer placed 12th in compulsory figures, 23rd in free skating, and 19th overall. She finished in the top ten at four ISU Championships – 1969 Worlds in Colorado Springs, Colorado, USA; 1969 Europeans in Garmisch-Partenkirchen, West Germany; 1970 Europeans in Leningrad, Soviet Union; and 1971 Europeans in Zürich, Switzerland.
Zillmer was born in West Point, New York, the daughter of Madeleine (née Mueller) and David Zillmer. She was coached by her mother. Her brother, Eric, competed in downhill skiing.
Competitive highlights International Event 66–67 67–68 68–69 69–70 70–71 Winter Olympics 19th World Champ. 9th 15th European Champ. 10th 10th 9th Prague Skate 9th National German Champ. 2nd 2nd 1st 1st 1st
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