Hey! If you suffer from dark circles like me I have some great items for you. These will color correct the purple/blue discoloration under your eyes, any scars and darkness around your mouth. After you color correct you can always add a brightener under the eyes for a dramatic finish. These holy grail items have never let me down.
*(click product images for purchase)
My favorite is the Nars Creamy Radiant Concealer in Biscuit. This has a salmon/pink undertone that works well to color correct dark circles. Bonus- if you are a deep tan skin tone this will also blend well into the other parts of the face to hide scars and discoloration. The finish is natural and does not need to be set with a powder.
The L.A. Girl PRO Concealer is more dramatic option and best for ladies with a deep dark skin tone. The red/orange shade can counteract the darkest circles. You will need to use another concealer on top though. I would recommend an actual skin tone concealer and not just a brightener. You will need to hide the red/orange.
Last but not least I use this Bobbi Brown concealer that has a pink undertone alone. The shade matches my skin tone while the undertone counteracts dark circles. I can use this alone when I feel like using minimal product but with strong coverage. It is a bit creamy and thick so you will need to warm the product up before application. Just rub a bit in between your fingers and pat on. You will need to set this with a powder as it does crease.
For reference I am an NC 42 in Mac, Syracuse in Nars Foundations, and Golden Beige in Cover Girl.