When I was an infant, my Mother subscribed to a record of the month club where they sent records of classical music accompanied by some dialog telling a little story. These weren't the Happy Hippo records, they were classical music like Tschaikovsky's Sleeping Beauty I remember that one in particular and still like the piece. Anyway, age three, for my birthday I got a cheap phonograph player where I could play these records by myself. I played the classical records a lot more than Teddy Bear's Picnic and The Little Engine that Could. Quality, if available, wins out.
Our family has a "do it yourself" gene or tradition, so when Mother offered me lessons age 8 to learn to play the piano, I was interested.
Nowadays with the internet, you don't have to join a club to get suitable material. but the little story around the good music helps the child relate to the music.
In this part of the country, many couples play "bluegrass" which is an easy to learn folk music for several instruments, up to six, Children are allowed to participate in rehearsals as soon as they can sing, and often learn to play an instrument as soon as they can hold it up, age 8 usually. It is great family entertainment, and I enjoy the music, but the genre is somewhat limited. My Mother couldn't play that well, and mostly played show tunes about love on piano that I couldn't relate to. The Stamps Baxter Christian songs we learned in Sunday School were much more my speed. My church teaches those to the junior choir, but the melodies have been borrowed these days by the Barney show with new words. Some enthusiastic Christian hymns we sang in Sunday School assembly, and I learned to play age 8 to 10, are still in my repretoire.
Mother also tried finger painting with me, then later Museum art lessons, but I have the inclination of a musician, not a visual artist, Let the child's success at something be what he concentrates on; every child is his own person.
Have fun.