There are obviously other "partially recognized countries," but I just focused on these 3 as they have some of the largest and most interesting numbers of countries that recognize them. As for trends regarding these 3 countries, there's certainly an interesting correlation between the recognition of Israel & Palestine. While many countries diplomatically recognize both, thus advocating a two-state solution, it's also a very divisive split between Judeo-Christian-friendly countries and Islam-oriented countries. The recognition of Kosovo on the other hand doesn't appear to draw any major cultural or geographic trends as far as I can tell (however maybe there are some historical elements at play here that I'm unaware of that make Kosovo-recognizers categorically unique from the rest?). Lastly for some numbers: out of 197 countries, Israel is recognized by 165 countries, Palestine 146 countries, and Kosovo 114 countries.
Here are my 3 Wikipedia sources: