My dad is a guitarist, so from him it was all Steely Dan, The Beatles, The Eagles, The Police, Cream, Hendrix, also Django Rheinhardt, Oscar Peterson etc....all of which I still listen to and love (apart from the Eagles, my secret shame, I still really enjoy them but just can't bring myself to actually purchase and play their music).
My mum was all about classic soul/funk/pop a la Stevie Wonder, The Supremes, Sam Cooke etc., David Boweie, reggae, folk music (we had a rocking collection of lesbian folk tunes including my personal favourites 'The Leaping Lesbians'), and Billie Holiday/Ella Fitzgerald, so a big yes on that front as well.
Stuff my dad loves now that I can't stand: Oasis, Sting (shudder).
Stuff I love that my dad won't admit is real music

: anything electronic, anything that involves rapping.