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, grande jete, shanay turns, and soutenus.
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...
well the basics are chausees which is basically step together step
there is also ponies
and pirouettes (spin on one leg)
also there's a kick ball change where you kick one leg and then step back...