|Date of birth||30 October 1970|
|Place of birth||Oschatz, East Germany|
|Height||1.77 m (5 ft 10 in)|
|1977–1983||BSG Glasseide Oschatz|
|1996–1999||1. FC Kaiserslautern||108||(27)|
|1985–1989||East Germany Youth|
|1989||East Germany Olympic|
|2009–||Eintracht Braunschweig (assistant)|
|* Senior club appearances and goals counted for the domestic league only|
He played for 1. FC Lokomotive (later VfB) Leipzig, 1. FC Kaiserslautern, VfL Wolfsburg and Eintracht Braunschweig. Rische scored together more than 100 goals in Oberliga, Bundesliga and 2. Bundesliga. He was a part of the East German squad at the 1989 FIFA World Youth Championship, playing one match.
Since 2009, he works as assistant coach at Eintracht Braunschweig.