When I think of Avant-garde I think of the arts. Something that's new and unusual. In other words, something just a little different or unique. I decided to stick with the arts with my photo example and pick something that I thought was just a bit different than the every day ordinary.
I attended this photography meetup at one of our local parks. We had the opportunity to photograph a dancer outside of a studio. The dancer used a bunch of different fabrics to enhance her movements. It was very cool. In this shot I placed the dancer on the vertical left third while the fabric is on the top third. I think it works nicely.
Find something unique, quirky, or new that you think is Avant-garde, however you might define it. I can't wait to see what you come up with!