Well I think it depends. First of all exclude musicians - we're not normal in that respect (thankfully).
I think most people quit searching for new music when they have children of their own. Some will hang on to Top40 after childbirth in an effort to hang on to their youth, but most people by their second child want to hear the music of their youth, or new music by their favorite artists as long as it doesn't change from their previous format much.
Of course there are exceptions.
This from the standpoint of a pro musician who watches the audience and plays songs according to what they react positively to.
Insights and incites by Notes
PS Now being a musician, I'm not about to go stagnant. I seek out world music, and continue to discover new symphonic music both from the old masters and the new people keeping that art form alive.
I think as I get older, my tastes for new music get less 'normal' and either more exotic or complex.
Check this out if you have the time. It combines middle-eastern melodies with Soviet era symphonic composition styles and it currently on my playlist.
https://www.youtube.com/watch?v=i1BccOVkCV0