At Mighty Directory, registration is not mandotory to browse the business directory. However, it is requred to submit your business, leave reviews, or to even favorite the businesses you have used or prefer to visit.
DMOZ Directory is the largest, most popular human-edited directory on the internet. It is constructed and maintained by SEO Pro Gurus, editors. But if you are looking to increase your web presence and MOZ, AHREF, SEO rankings submitting to directories is the best place to start.