I've been asked to make a shampoo without using coconut oil or tree nuts due to allergies.  This is my own formulation that I came up with...a shampoo using palm kernel oil, avocado oil, olive oil and safflower oil.  All picked because of it's lightweight feeling.
This shampoo is unscented which allows you to either use as is or add your own scent. 
Comes in a 16 oz. bottle.  (The bottle in the back)
The best results with my shampoos have been with customers that have soft water. To receive the benefits from the oils used, it is best to leave on hair for a minute or 2 before rinsing. Then follow with your favorite conditioner.
Ingredients: distilled water, palm kernel oil, avocado oil, olive oil, safflower oil, KOH and sodium borate.