I don't think I'm precise enough to rank all sixteen.
I would most want to be INTJ or ENTJ. They're just exude far more confidence than I and they get more stuff done. ENTP would be cool too but ranked slightly lower because of they tend not to get as much done. But they're probably more fun to be around than the NTJs.
Next most want: ENFP. Love their creativity and enthusiasm and their way with making people feel good.
ISTP sounds cool too. Calm in a crisis, have the dominant Ti like I do but way better at all the Se stuff and more realistic. I don't know that I'd want to trade INTP for ISTP but it would be fun for awhile.
Least want: INFP. More than any other type, they have to swim upstream the most, at least that's how it seems in American society. I think often they're overlooked by others, struggle with confidence, struggle with depression, probably because of the pressures put upon them. INFP would probably be better in another society that valued those functions more.
Other the other hand, ESTJ would be my second least desirable type, even though they have all the letters that seem desired in American society. Probably because theres so many of them that they don't really stand out and they seem rather uptight and unimaginative.
Third least would be ISFJ, which is too bad because ISFJs are such nice people. The ones I know anyway. Blame the profiles for making them sound like uncreative, anxiety prone people, who often neglect their own needs.
I'd rank my own type somewhere in the middle.