Sweat the aromatics. Warm olive oil over medium heat. Add sliced leeks (or onions) with a pinch of salt. Cook until soft and sweet, 6–8 minutes. Stir in minced garlic, crushed fennel or coriander, and chili flakes for 1 minute until fragrant.
Build the base. Add drained white beans and toss to coat. Pour in about 1 cup stock. Simmer 3–4 minutes to let the beans drink it in.
Creamy turn. Add a generous splash of cream—start with 1/3 cup. Fold in greens and let them wilt. Taste and season. It should taste rich but bright.
Make egg nests. Use a spoon to create little wells. Crack in your eggs (4–6, depending on skillet size).
Cover and cook. Lower the heat. Cover the pan and cook 5–7 minutes until whites set and yolks stay runny. Check often—you want silky, not overcooked.
Finish like you mean it. Grate in lemon zest, squeeze a little juice, shower with herbs, and hit it with cheese. Black pepper on top makes it pop.