OOh - now I guess the obvious choice is sprouts, but I can't stand peas. Mushy, garden or otherwise. I will pick them out of any dish and always have done. I used to watch my mum shelling fresh peas, eating many as she went along, and it used to make me gag.
Boiled White Cabbage - mum used to slice it up and boil it as a veg with Sunday roast along with the other veg. It tastes of nothing unless it's raw in coleslaw, but it is cheap and there were 7 of us to feed... yuck yuck yuck!