Where can I professionally print my own board games

Hiya all, designing board games has been a hobby of mine for a while now and now that I have a few ideas I want to look into printing them so as to have a more satisfying look and feel than index cards and printer paper boards. The reason I am asking reddit rather than just submitting a request to a publishing company is that I have no intention of selling my games to others. They are simply for me and my friends to enjoy.

One of the games I have made is a game based in the world of The Matrix. Therefore, I would be hard pressed to acquire the rights to such a tremendous franchise for printing. Rather, I simply want my game to exist in my collection but look and feel "professional". Thereby fulfilling my dream of a Matrix Board game without the hard-pressed battle for publishing rights; not that I am unwilling should the opportunity arise, but I won't be holding my hopes up.

If I am willing to pay the money for the single print where could I go to submit my design and come out with the board, pieces, and box for one such game?