Lyrical dance does not have as much exact movements and structure as ballet. It is more artistic and free, but some steps that may be in a lyrical dance are pirouettes , arabesque, contractions,...
Well since I dance I can give you a bunch of info. These are some famous tap steps:
Shuffle bufflo, all time steps 1-8, maxiford, cincinatti, shuffle turns, flaps, digs, riff, pull backs single to...
Jazz is like the mambo step quite fast. When we take salsa dancers that are on vacation in South Africa to a jazz club,the response is the "It's like the mambo."Most of them just need to get used to...