The only meme song I listened to a lot was caramelldansen. When I first heard of it from a friend I listened to it nonstop the entire time I was on the computer which was like 5 hours. For some reason I didn't get tired of it. I still think the tune is catchy and nice but I wouldn't listen for it for that long again.
I remember my friend showed me this site that played the song on a loop and had a timer at the bottom that showed how many seconds you stayed on that page and listened to the song.