I used to do this then I realised I was making 'misery soup', unappetising beige slush I often ended up throwing away.
Take all the unwanted veg and make stock, maybe with meat bones if you have them - a pressure cooker makes this very fast!
Then have an actual flavour you are going for. This can be one main type of veg plus one main flavour, eg spicy parsnip, carrot and coriander, sweet potato and chilli.
Sweat onion and garlic then add veg to sweat then stock.
Then, crucially, you need a bit of fat in some form - cream, milk, creamed coconut, a dash of oil, meat with a bit of fat in. The fat molecules help your mouth taste the flavour better, without them you might as well drink the water that veg has been boiled in.
Plenty of salt and pepper. If it's smooth then add some croutons, pomegranate, toasted seeds etc to make it interesting.