Are there better ways to organize a company?

I have recently been contemplating how I want to structure my company and as part of that process, decided it was time to create an organization chart. I know it is not a good idea to design positions around a person but instead on the role and what results I want from a particular position. But then I got to thinking if there could be a better way. Something radically different but still focused on results. Something that would scale and still function when people were away on vacation. And most important, something that would set the tone for how I envision the company will operate.

I looked at examples of other companies and found them mostly identical. There was always a mix of division between function and geography. There were boxes and in each box would be a name, a title, and if the chart was really advanced, a description. But do companies really need a single person to occupy each box?

One thing that got me thinking about this was a tweet I recently made announcing my intention to not claim the role most founders automatically assume of CEO on the business cards. That does not mean that I would not be doing this role; just that I was looking for ways to make the company seem a bit larger than a single person. At least initially anyway. I got one reply that stated that investors will want to deal with the person in charge. Are we naturally trained to go to one person for answers or leadership? Growing up, many of us had two parents and if we were really lucky, they worked as a team and it did not matter who we asked.

So what if I put teams in place to handle the traditional role of a single person? In programming, this might be comparable to the extreme idea of pair programming. At first, it may seem inefficient but it has tremendous potential to produce better and faster results than if people work alone.

This is still a work in progress, but I am thinking about a structure like below. Instead of somebody claiming to be the CEO for example, 2 or more people would be responsible for the duties of the Business Executive Team. Here is my idea of how I might organize my company. Thoughts? Is anybody aware of this being tried before?

Business Executive Team
Coordinates the direction of all business functions. Regularly meets with representatives from other executive teams to give guidance and updates. Also handles mergers and acquisitions.

Operations Executive Team
Manages the systems that allow the company to function. Also experiments with new systems and methods. Handles office space, computer systems, security, safety, remote working, identification, and Internet and network issues.

Financial Executive Team
Records, forecasts, and budgets the company revenue, expenses, and investments.

Customer Executive Team
One team to coordinate all aspects of dealing with customers. This includes sales, marketing, customer service, and shipping.

Vendor Executive Team
Works with other companies to evaluate and coordinate related products and services needed by the company.

Product Executive Team
Develops new products, provides technical support for existing products, sources and stocks inventory.

Legal Executive Team
Provides advice and support for potential or existing legal issues. Also handles government filings and registrations.

People Executive Team
Supports employees with joining or leaving the company, benefits, counseling, and training. Promotes and monitors ethical behavior.