Your list seems fine as a list of top 10 contemporary and popular (i.e., lots of recent airplay and other exposure) ukulele songs, although I don't understand the big whoop over "Hey Soul Sisiter," which sounds to me like a less interesting form of IZ's "Somewhere Over The Rainbow" chord progressions with different lyrics. I think any "all time" top ten list of ukulele songs has to include some Hawaiian music as well as the Tin Pan Alley music of the 1920s and 1930s that drove the ukulele's first big wave of popularity on the mainland. Many people don't even know, for example, that "Singin' In The Rain" began its life as an ukulele song in the late 1920s, but I'd put it in my "all time" top ten list for that reason. "Aloha Oe," given its great popularity and exposure for such a long time, would have to be on my "all time" list as well.
Try giving up. It just might work. - stevepetergal