Welcome Corkizon!
To answer your question, there are other contest (crowdsourcing) sites that do more than logos, but I won't link to any of them here -- they are the competition!
However, as a professional web and print designer, I will tell you that I would never want to enter a contest for web design or print projects (which is why I am here and not at those other sites). And I would recommend to you as a business owner that you would not want to buy those products that way. You're better off looking for a freelancer to help with those projects, and many designers here do design work beyond logos.
Specifically with regard to web design, I would say that you're better off with a freelancer because you'll have that designers undivided attention to your project, and there are so many considerations in web design that make it a far more complex endeavor than logo design. Plus, a website is never finished, so establishing a relationship with a good web designer makes good business sense in the long term. You'll get a lot more value for the money, and though the initial investment may be higher than a contest, if done well, it can end up paying for itself. Just my thoughts on the matter.
Good luck with your logo!