Every now and then, a selection panel comes up with a "bolter", someone gets picked and no-one saw it coming, e.g. Peter Taylor in 1987, where everyone was asking if they really meant to pick Mark Taylor.
What's your favourite obscure selection, not necessarily on the basis of performance, but that we look back on and have a bit of a chuckle.
Up there for me is Gavin Robertson being picked, virtually from club cricket to go to India, and he performed rather admirably IIRC when taking into account his complete lack of talent.
Another one that can sneak a mention is Bob Holland, the 38 year old legspinner. Not that I was around then, but it seems obscure enough for me.