I want to make or buy a website so suggest me which type website in this days have chance to get good popularity.
You can try google trends, also see what's popular around you, in real life, on TV, or online forums, reddit, facebook, what are people talking about. Besides, there are topics which are constantly popular: like food, travel, dating, clothing, health, technology...
I would just create a site for something that you personally enjoy or are passionate about, and find a way to create a business out of it. If you try to create something around the latest trend it's just a matter of time before the trend ends. Besides creating a quality site that has a shot at becoming popular could take 3-4+ months just to get everything going and to drive traffic to the site.