Rita Kőbán had the following podium finishes at the Flatwater World Championships: 1st 1986 K4 500 m (with Erika Géczi, Erika Mészáros, and Éva Rakusz), 1st 1994 K1 200 m, 1st 1994 K2 200 m (with the non-Olympian Éva Laky), 1st 1994 K4 200 m (with Éva Dónusz, Szilvia Mednyánszki, and the non-Olympian Éva Laky), 1st 1995 K1 200 m, 1st 1995 K1 500 m, 1st 1998 K4 200 m (with Kinga Czigány, Erzsébet Viski, and Katalin Kovács), 1st 1999 K4 200 m (with Katalin Kovács, Erzsébet Viski, and Szilvia Szabó), 1st 1999 K4 500 m (with Katalin Kovács, Erzsébet Viski, and Szilvia Szabó), 2nd 1985 K2 500 m (with Éva Rakusz), 2nd 1987 K4 500 m (with Erika Géczi, Katalin Povázsán, and Éva Rakusz), 2nd 1989 K4 500 m (with Erika Mészáros and the non-Olympians Katalin Gyulai and Henriette Huber), 2nd 1990 K4 500 m (with Éva Dónusz, Erika Mészáros, and the non-Olympian Henriette Huber), 2nd 1991 K1 500 m, 2nd 1991 K4 500 m (with Éva Dónusz, Erika Mészáros, and the non-Olympian Katalin Gyulai), 2nd 1993 K1 5000 m, 2nd 1994 K1 500 m, 2nd 1994 K4 500 m (with Éva Dónusz, Kinga Czigány, and Szilvia Mednyánszki), 2nd 1998 K2 200 m (with Kinga Czigány), 3rd 1985 K4 500 m (with Erika Géczi, Éva Rakusz, and the non-Olympian Katalin Gyulai), 3rd 1993 K4 500 m (with Kinga Czigány, Éva Dónusz, and Erika Mészáros), 3rd 1995 K4 500 m (with Kinga Czigány, Éva Dónusz, and Szilvia Mednyánszki), 3rd 1998 K2 500 m (with Kinga Czigány), 3rd 1999 K1 200 m, 3rd 1999 K1 500 m.