Puffiness around the Eyes
If you have puffy skin around the eyes, use an eye cream that contains caffeine which allows a temporary de-puffing by constricting blood vessels in the area. For example, try SkinCeuticals AOX+ Eye Gel OR Exuviance DePuffing Eye Serum
Dark Circles under Eyes
For dark circles go for an eye product which contains ingredients such as vitamin C, licorice, Kojic acid, Chromabright or niacinamide which inhibit melanin production. Try PCA Skin Vitamin b3 Eye Brightening Cream
Other ingredients such as Vitamin K can help, it's an antioxidant that strengthens the capillaries under the eyes. Our top Vitamin K eye serum is Sesderma K-VIT Anti-Dark Circle Serum.& Eminence Organic Wild Plum Eye Cream
Fine Lines & Wrinkles
If the eye area is sagging/baggy I am afraid an eye cream cannot help. Only surgery will help remove that excess skin.
Dry & Crepey Skin Around The Eye Area
Make sure you're using your eye cream correctly
It's vital that you protect your skin daily against the sun. This also applies to the skin around the eyes. The problems of wrinkles, dark circles, etc. will only get worse if you go out without sun protection. Use either an eye SPF sunscreen or a mineral SPF sunscreen or make sure that your concealer is a minimum of SPF30 or higher. And lastly don't forget to wear sunglasses.