Legal Question in Technology Law in Michigan

Re: Can I use there names without their agreements?

Too vague. Use them how? If you imply that they are associated with your website, you will probably be infringing their trademarks and engaging in unfair competition for which you could be liable to them. If you are just linking to their site and making it clear they are not associated with you, then it is not likely to be an infringement and not likely to be of concern to them. Yahoo gets its names from the entities listed in it. It charges for certain services and the money is plenty to pay for other services, which in turn brings more visitors which brings in more ad revenue which....you get the picture.