Best colour shoes for burgundy suit?

The best colour shoes to wear with a burgundy suit is brown, unless you want the viewer to reflect the glance to your shoes, in that case sand or tan shoes will work. The aim of the game is to keep the focus on you, and the eye focused on you and your statement suit. Hence harsh contrasts will only deflect from what you are trying to achieve when you rock a burgundy suit. 

We would definately suggest using a brown shoe.

Choose a warmer richer tone to compliment the suit rather than a mustard tone.

Black will also work should you want to create a more formal look but will be a little heavy.