Soups

In Gemara Brachot (39a) Rav Papa says that water of cooked vegetables is HaAdama just like the Bracha of the cooked vegetables itself. The question the Rishonim deal with is why liquids which vegetables were cooked in are HaAdama while fruit juice is Shehakol (Brachot 38b, S"A 202:8). The Rabbenu Yonah (Brachot 27b D”H VeMaya) answers that squeezing fruit makes the fruit worse while cooking improves the vegetable. The Rosh (Brachot 6:18) differentiates that fruit juices don’t taste like the fruit itself but the liquid of a cooked vegetable tastes like the vegetable itself and so it’s HaAdama. The Tur 205:2 and Shulchan Aruch 205:2 both use the same differentiation of the Rosh. The Rashba (Brachot 38a) writes that vegetables were mostly used for cooking (and so the bracha is HaAdama), however, the majority of fruit isn't planted in order to be squeezed and so the bracha is Shehakol.

The Halachos of Brachos (Rabbi Pinchas Bodner, chapter 23 pg 434) writes that vegetable soup with no vegetables or beans is HaAdama.