I like most everything but cavemen music. I am particularly fond of 70’s rock but I find that every genre/decade produced some brilliant music if you only know where to look, so I really like most genres to some extent. If I were to pick a few of my personal favourites from every decade in the past 100 years or so:
10’s - 20’s: Late Classical. Mahler, Gershwin, Greig.
30’s: Over the Rainbow, Georgia on my Mind, Body and Soul.
40’s: We’ll Meet Again, White Cliffs of Dover, Civillization.
50’s: Unforgettable, Johnny B Goode, Hound Dog.
60’s Way too much to pick, but to summarize: Hello Goodbye, Mr. Lonely, It’s Alright Ma, Sound of Silence, What a Wonderful World.
70’s: Even worse now, but: Bohemian Rhapsody, Baker Street, Mr. Blue Sky, American Pie, Dust in the Wind.
80’s: Come on Eileen, Africa, All Out of Love, Rio, Don’t You Forget About Me, Tweeter and the Monkey Man, any 70’s bands still making Rock.
90’s: Nothing Else Matters, Don’t Speak, Tubthimping, Everybody Hurts, The Show Must Go On, A Thousand Trees.
00’s: Trains to Brazil, Dirty Little Secret, Hey There Delilah, anything Amy Winehouse.
10’s: Not much. Don’t you Worry Child, Titanium, some Indie Pop-Rock stuff like Vance Joy.