First was my Dad, church music (even Anglican chant), folk and campfire songs. Then came musicals, my Dad, church music (even pipe organ standards), and humorous/parody songs. Before long came rock'n'roll in the form of The Rolling Stones and Led Zeppelin et al, my Dad, church music, and blues. About 15 years ago a reversal of sorts to folkier stuff, bluesier stuff, churchier stuff, and the underlying influence of my Dad.
These days, meaning the last 5 years or so, I'm mostly influenced by the likes of Simon Mayor, choral music, bluegrass sometimes, Led Zeppelin, Danny Gatton, Roy Buchanan, Leo Kottke, Tony McManus. My Dad is gone now but I still feel his influence in how I harmonize and write.
The performers who have had the greatest recent influence on me are Simon Mayor and Tony McManus, both of whom I've seen and will see again this summer, lucky me.
So much music, so little time!