Green beans do benefit from a longer cooking time that is usually observed in most American restaurants nowadays. They develop a taste that you just don't have in a 5-min-sauteed green bean. We boil ours for about 15mn on average, until tender, then saute them in butter with garlic and parsley, sprinkle with lemon juice before serving.
Overcooked potatoes? I don't like those. The starch starts to transform into sugar and they get that sugary taste that I don't like.
Smelly brussel sprouts.. yes I can relate, I've had those as well. As well as smelly cabbage, smelly cauliflower... Some bad school restaurant memories. But if you prepare them right (and there are a few ways to do so) then they can be a delight.